All Publications

@article{Hjoins2026,
    title = {On H-joins of complex unit gain graphs and their stability},
    journal = {Discrete Mathematics},
    year = {2026},
    volume = {349},
    number = {7},
    articleno = {Article 115069},
    author = {C. Huntington, S. Spessato, F. Belardo},
    type = {journal},
    doi = {10.1016/j.disc.2026.115069},
    website = {https://doi.org/10.1016/j.disc.2026.115069},
}

@article{independent_domination_binary2026,
    title = {Independent domination polynomials of binary sequence graphs},
    journal = {Journal of Algebraic Combinatorics},
    year = {2026},
    volume = {63},
    number = {4},
    articleno = {Article 57},
    author = {B.A. Rather, J.F. Wang, F. Belardo},
    type = {journal},
    doi = {10.1007/s10801-026-01514-x},
    website = {https://doi.org/10.1007/s10801-026-01514-x},
}

@article{hoffman_laplacian_matching2026,
    title = {Hoffman program of Laplacian matching polynomials of graphs},
    journal = {Proceedings of the Edinburgh Mathematical Society},
    year = {2026},
    volume = {69},
    number = {2},
    pages = {581-598},
    author = {Z. Li, J.F. Wang, S.-M. Ma, F. Belardo},
    type = {journal},
    doi = {10.1017/S0013091525101247},
    website = {https://doi.org/10.1017/S0013091525101247},
}

@article{signed_positive_eigenvalues2026,
    title = {On signed graphs with at most three positive eigenvalues},
    journal = {Linear Algebra and its Applications},
    year = {2026},
    volume = {729},
    pages = {293-307},
    author = {Y. Wang, F. Belardo, D. Li},
    type = {journal},
    doi = {10.1016/j.laa.2025.10.005},
    website = {https://doi.org/10.1016/j.laa.2025.10.005},
}

@article{hoffman_developments2025,
    title = {Developments on the Hoffman program of graphs},
    journal = {Advances in Applied Mathematics},
    year = {2025},
    volume = {169},
    articleno = {Article 102915},
    pages = {50},
    author = {J.F. Wang, J. Wang, M. Brunetti, F. Belardo, L. Wang},
    type = {journal},
    doi = {10.1016/j.aam.2025.102915},
    website = {https://doi.org/10.1016/j.aam.2025.102915},
}

@article{maximal_lanzhou2025,
    title = {Maximal Lanzhou index of trees and unicyclic graphs with prescribed diameter},
    journal = {Applied Mathematics and Computation},
    year = {2025},
    volume = {488},
    articleno = {Article 129116},
    pages = {10},
    author = {P. Wei, W. Jia, F. Belardo, M. Liu},
    type = {journal},
    doi = {10.1016/j.amc.2024.129116},
    website = {https://doi.org/10.1016/j.amc.2024.129116},
}

@article{distribution_signless_dist,
    title = {On the distribution of distance signless Laplacian eigenvalues with given independence and chromatic number},
    journal = {Discussiones Mathematicae Graph Theory},
    year = {2025},
    volume = {45},
    number = {1},
    author = {S. Pirzada, S. Khan, F. Belardo},
    pages = {111-128},
    type = {journal},
    doi = {10.7151/dmgt.2524},
    durl =  {https://www.dmgt.uz.zgora.pl/publish/pdf.php?doi=2524},
    website ={https://www.dmgt.uz.zgora.pl/publish/article.php?doi=2524},
},

@article{strong_reciprocal2024,
    title = {Signed graphs with strong (anti-)reciprocal eigenvalue property},
    journal = {Special Matrices},
    year = {2024},
    volume = {12},
    number = {1},
    articleno = {Article 20240017},
    pages = {28},
    author = {F. Belardo, C. Huntington},
    type = {journal},
    doi = {10.1515/spma-2024-0017},
    website = {https://doi.org/10.1515/spma-2024-0017},
}

@article{laplacian_limit_points2024,
    title = {Limit points of (signless) Laplacian spectral radii of linear trees},
    journal = {Applied Mathematics and Computation},
    year = {2024},
    volume = {477},
    articleno = {Article 128819},
    pages = {27},
    author = {F. Belardo, E. Oliveira, V. Trevisan},
    type = {journal},
    doi = {10.1016/j.amc.2024.128819},
    website = {https://doi.org/10.1016/j.amc.2024.128819},
}

@article{partial_transpose2024,
    title = {Construction of cospectral graphs, signed graphs and T-gain graphs via partial transpose},
    journal = {Journal of Algebraic Combinatorics},
    year = {2024},
    volume = {60},
    number = {1},
    pages = {191-224},
    author = {F. Belardo, M. Brunetti, M. Cavaleri, A. Donno},
    type = {journal},
    doi = {10.1007/s10801-024-01332-z},
    website = {https://doi.org/10.1007/s10801-024-01332-z},
}

@article{trees_eq_specrad,
    title = {Infinite families of trees with equal spectral radius},
    journal = {Examples and Counterexamples},
    year = {2024},
    volume = {5},
    author = {F. Belardo, M. Brunetti},
    pages = {4},
    articleno = {Article 100138},
    type = {journal},
    doi = {10.1016/j.exco.2024.100138},
    website = {https://doi.org/10.1016/j.exco.2024.100138},
},

@article{GGMS-gain,
    title = {A switching method for constructing cospectral gain graphs},
    journal = {Discrete Mathematics,},
    year = {2024},
    author = {A. Abiad, F. Belardo, A.P. Khramova},
    volume = {347},
    number = {4},
    articleno = {article n. 113838},
    pages = {9},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X23005241},
    durl = {https://www.sciencedirect.com/science/article/pii/S0012365X23005241/pdf},
    doi={10.1016/j.disc.2023.113838},
%    year = {in press},
},

@article{Limit_signed,
    title = {Limit points for the spectral radii of signed graphs},
    journal = {Discrete Mathematics,},
    year = {2024},
    author = {F. Belardo and M. Brunetti},
    volume = {347},
    number = {2},
    articleno = {article n. 113745},
    pages = {20},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X23004314},
    durl = {https://www.sciencedirect.com/science/article/pii/S0012365X23004314/pdf},
    doi={10.1016/j.disc.2023.113745},
%    year = {in press},
},

@article{CUG-NEPS,
    title = {NEPS of complex unit gain graphs},
    journal = {Electronic Journal of Linear Algebra,},
    year = {2023},
    volume = {39},
%    number = {},
    pages = {621-643},
    author = {F. Belardo, M. Brunetti, S. Khan},
    website = {https://journals.uwyo.edu/index.php/ela/article/view/8015},
    doi = {10.13001/ela.2023.8015},
    type = {journal},
    durl = {https://journals.uwyo.edu/index.php/ela/article/view/8015/6419},
},

@article{H-tree-char,
    title = {On the divisibility of H-shape trees and their spectral determination},
    journal = {Linear Algebra and its Applications,},
    year = {2023},
   volume = {675},
 %  number = {},
    author = {Z. Chen, J.F. Wang, M. Brunetti and F. Belardo},
    pages = {312-337},
    type = {journal},
    doi = {10.1016/j.laa.2023.06.028},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379523002537},
},

@article{augZagreb2,
    title = {The 𝘬-apex trees with minimum augmented Zagreb index},
    journal = {Discrete Mathematics,},
    year = {2023},
    author = {M. Liu, S. Pang, F. Belardo and A. Ali},
    volume = {346},
    number = {7},
    articleno = {article n. 113390},
    pages = {20},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X23000766},
    doi={10.1016/j.disc.2023.113390},
%    year = {in press},
},

@article{total_signed_graph,
    title = {Total graph of a signed graph},
    journal = {Ars Mathematica Contemporanea,},
    year = {2023},
    volume = {23},
    number = {1},
    pages = {17, P1.02},
    author = {F. Belardo, Z. Stanić and T. Zaslavsky},
    doi = {10.26493/1855-3974.2842.6b5},
    type = {journal},
    website = {https://doi.org/10.26493/1855-3974.2842.6b5},
    durl = {https://amc-journal.eu/index.php/amc/article/download/2842/1781},
},

@article{multicone_perron,
    title = {The general spectral radii of (multicone-)graphs with given degree sequences},
    journal = {Linear and Multilinear Algebra,},
    year = {2022},
    volume = {70},
    number = {19},
    pages = {4751-4777},
    author = {Y. Huang, M. Liu and F. Belardo},
    website = {https://www.tandfonline.com/doi/abs/10.1080/03081087.2021.1895703},
    doi = {10.1080/03081087.2021.1895703},
    type = {journal},
},

@article{compound_gain_eigenspaces,
    title = {On eigenspaces of some compound complex unit gain graphs},
    journal = {Transactions on Combinatorics,},
    year = {2022},
    volume = {11},
    number = {3},
    pages = {131-152},
    author = {F. Belardo and M. Brunetti},
    website = {https://toc.ui.ac.ir/article_26186.html},
    doi = {10.22108/TOC.2021.130013.1888},
    type = {journal},
    durl = {https://toc.ui.ac.ir/article_26186_7cda6704cc1ac86a1b0dd67b9c41a199.pdf},
},

@article{open_quipus_45,
    title = {On Quipus whose signless Laplacian index does not exceed 4.5},
    journal = {Journal of Algebraic Combinatorics,},
    year = {2022},
    volume = {55},
    number = {4},
    pages = {1199-1223},
    author = {F. Belardo, M. Brunetti, V. Trevisan and J.F. Wang},
    website = {https://link.springer.com/article/10.1007/s10801-021-01090-2},
    doi = {10.1007/s10801-021-01090-2},
    type = {journal},
%    durl = {},
},

@article{quat-unit-gain,
    title = {Spectra of quaternion unit gain graphs},
    journal = {Linear Algebra and its Applications,},
    year = {2022},
   volume = {632},
 %  number = {},
    author = {F. Belardo, M. Brunetti, J.N. Coble, N. Reff and H. Skogman},
    pages = {15-49},
    type = {journal},
    doi = {10.1016/j.laa.2021.09.009},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379521003426},
},

@article{augZagreb,
    title = {The minimal augmented Zagreb index of 𝘬-apex trees for 𝘬∈{1,2,3}},
    journal = {Applied Mathematics and Computation,},
    year = {2021},
    volume = {402},
%    number = {},
    articleno = {article n. 126139},
    pages = {12},
    author = {K. Cheng, M. Liu and F. Belardo},
    website = {https://www.sciencedirect.com/science/article/abs/pii/S0096300321001879},
    doi = {10.​1016/​j.​amc.​2021.​126139},
    type = {journal},
%    durl = {https://},
},

@article{signed-GM,
    title = {Constructing cospectral signed graphs},
    journal = {Linear and Multilinear Algebra},
    year = {2021},
    volume = {69},
    number = {14},
    author = {F. Belardo, M. Brunetti, M. Cavaleri and A. Donno},
    pages = {2717-2732},
    type = {journal},
    doi = {10.1080/03081087.2019.1694483},
    website = {https://www.tandfonline.com/doi/full/10.1080/03081087.2019.1694483},
},

@article{unbcycle-locating-eig,
    title = {Locating eigenvalues of unbalanced unicyclic signed graphs},
    journal = {Applied Mathematics and Computation,},
    year = {2021},
    volume = {400},
%    number = {},
    articleno = {article n. 126082},
    pages = {17},
    author = {F. Belardo, M. Brunetti and V. Trevisan},
    website = {https://www.sciencedirect.com/science/article/pii/S0096300321001302},
    doi = {10.​1016/​j.​amc.​2021.​126082},
    type = {journal},
%    durl = {https://www.sciencedirect.com/science/article/abs/pii/S0096300321001302},
},

@article{CUG-line_graphs,
    title = {Line graphs of complex unit gain graphs with least eigenvalue -2},
    journal = {Electronic Journal of Linear Algebra},
    year = {2021},
    volume = {37},
%    number = {},
    pages = {14-30},
    author = {F. Belardo and M. Brunetti},
    website = {https://journals.uwyo.edu/index.php/ela/article/view/5249},
    doi = {10.13001/ela.2021.5249},
    type = {journal},
    durl = {https://journals.uwyo.edu/index.php/ela/article/view/5249/5233},
},

@article{gain-GMswitching,
    title = {Godsil-McKay switching for mixed and gain graphs over the circle group},
    journal = {Linear Algebra and its Applications},
    year = {2021},
    author = {F. Belardo, M. Brunetti, M. Cavaleri and A. Donno},
    volume = {614},
    pages = {256-269},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379520302196},
    doi={10.1016/j.laa.2020.04.025},
},

@article{UniBicyclic_min_spec,
    title = {Unbalanced unicyclic and bicyclic graphs with extremal spectral radius},
    journal = {Czechoslovak Mathematical Journal,},
    year = {2021},
    volume = {71},
    number = {2},
    author = {F. Belardo, M. Brunetti and A. Ciampella},
    pages = {417-433},
    type = {journal},
    doi = {10.21136/CMJ.2020.0403-19},
    website = {https://articles.math.cas.cz/10.21136/CMJ.2020.0403-19},
},

@article{Eccentricity2,
    title = {Spectral properties of the eccentricity matrix of graphs},
    journal = {Discrete Applied Mathematics},
    year = {2020},
    author = {J.F. Wang, M. Lu, L. Lu and F. Belardo},
    volume = {279},
    pages = {168-177},
    type = {journal},
    doi = {10.1016/j.dam.2019.10.015},
    website = {https://www.sciencedirect.com/science/article/pii/S0166218X19304652},
},

@article{Aalpha_2,
    title = {Graphs whose 𝘈𝛼-spectral radius does not exceed 2},
    journal = {Discussiones Mathematicae: Graph Theory},
    year = {2020},
    volume = {40},
    number = {2},
    author = {J.F. Wang, J. Wang, X. Liu, F. Belardo},
    pages = {677-690},
    type = {journal},
    doi = {10.7151/dmgt.2288},
    website = {https://www.dmgt.uz.zgora.pl/publish/bbl_volume.php?ID=18158},
    durl = {https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=20807},
},

@article{Gain-Balance,
    title = {Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs},
    journal = {Discussiones Mathematicae: Graph Theory},
    year = {2020},
    volume = {40},
    number = {2},
    author = {F. Belardo, M. Brunetti and N. Reff},
    pages = {417-433},
    type = {journal},
    doi = {10.7151/dmgt.2281},
    durl = {https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=20825},
    website = {https://www.dmgt.uz.zgora.pl/publish/bbl_volume.php?ID=18158},
},

@article{t4-line,
    title = {Line and subdivision graphs determined by 𝕋₄-gain graphs},
    journal = {Mathematics},
    year = {2019},
    author = {A. Alazemi, M. Andelic, F. Belardo, M. Brunetti and C.M. da Fonseca},
    volume = {7},
    number = {10},
    articleno = {926},
    pages = {12},
    type = {journal},
    website = {https://www.mdpi.com/2227-7390/7/10/926},
    doi={10.3390/math7100926},
    durl = {https://www.mdpi.com/2227-7390/7/10/926/pdf},
},

@article{unified,
    title = {Unified extremal results of topological indices and spectral invariants of graphs},
    journal = {Discrete Applied Mathematics},
    year = {2019},
    author = {Y. Yao, M. Liu, F. Belardo and C. Yang},
    volume = {271},
    pages = {218-232},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0166218X19302860},
    doi={10.1016/j.dam.2019.06.005},
},

@article{signed_unicyclic,
    title = {On the largest eigenvalue of signed unicyclic graphs},
    journal = {Linear Algebra and its Applications},
    year = {2019},
    author = {S. Akbari, F. Belardo, F. Heydari, M. Maghasedi and M. Souri},
    volume = {581},
    pages = {145-161},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/abs/pii/S002437951930268X},
    doi={10.1016/j.laa.2019.06.016},
},

@article{alpha,
    title = {On the multiplicity of 𝛼 as an 𝘈𝛼(Γ)-eigenvalue},
    journal = {Discrete Mathematics},
    year = {2019},
    author = {F. Belardo, M. Brunetti and A. Ciampella},
    volume = {342},
    number = {8},
    pages = {2223-2233},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X19301438},
    doi={10.1016/j.disc.2019.04.024},
},

@article{dam-ned_conjecture,
    title = {Spectral ordering of trees with small index},
    journal = {Linear Algebra and its Applications},
    year = {2019},
    author = {F. Belardo, E. Oliveira and V. Trevisan},
    volume = {575},
    pages = {250-272},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379519301648},
    doi={10.1016/j.laa.2019.04.012},
    type = {journal},
},

@article{edgeclusters,
    title = {Edge Perturbations on Signed Graphs with Clusters: Adjacency and Laplacian Eigenvalues},
    journal = {Discrete Applied Mathematics},
    year = {2019},
    volume = {269},
    author = {F. Belardo, M. Brunetti and A. Ciampella},
    website = {https://www.sciencedirect.com/science/article/pii/S0166218X19301015},
    pages = {130-138},
    doi = {10.1016/j.dam.2019.02.018},
    type = {journal},
},

@article{signedinfinity1,
    title = {Connected signed graphs L-cospectral to signed ∞-graphs},
    journal = {Linear and Multilinear Algebra},
    year = {2019},
    volume = {67},
    number = {12},
    pages = {2410-2426},
    author = {F. Belardo and M. Brunetti},
    website = {https://www.tandfonline.com/doi/abs/10.1080/03081087.2018.1494122},
    doi = {10.1080/03081087.2018.1494122},
    type = {journal},
},

@article{survey_signed,
    title = {Open problems in the spectral theory of signed graphs},
    journal = {The Art of Discrete and Applied Mathematics},
    year = {2018},
    author = {F. Belardo, S. Cioaba, J. Koolen and J.F. Wang},
    volume = {1},
    number = {2},
    articleno = {#P2.10},
    pages = {23},
    type = {journal},
   website = {https://adam-journal.eu/index.php/ADAM/article/view/1286},
   doi={10.26493/2590-9770.1286.d7b},
   durl = {https://adam-journal.eu/index.php/ADAM/article/view/1286/1057},
},

@article{leastbicyclic,
    title = {Signed bicyclic graphs minimizing the least Laplacian eigenvalue},
    journal = {Linear Algebra and Its Applications},
    year = {2018},
    author = {F. Belardo, M. Brunetti and A. Ciampella},
    volume = {557},
    pages = {201-233},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/abs/pii/S0024379518303549},
    doi = {10.1016/j.laa.2018.07.026},
},

@article{completocoronacocktail,
    type = {journal},
    title = {Spectral analysis of the wreath product of a complete graph with a cocktail party graph},
    journal = {AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali},
    year = {2018},
    volume = {96},
    number = {S2},
    articleno = {A1},
    pages = {1-11},
    author = {F. Belardo, M. Cavaleri and A. Donno},
    website = {http://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.96S2A1},
    doi = {10.1478/AAPP.96S2A1},
    durl= {http://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.96S2A1/AAPP96S2A1},
},

@article{Laplacian 2-2,
    type = {journal},
    title = {Spectral characterizations of graphs with at most two (signless) Laplacian eigenvalues greater than 2},
    journal = {Ars Combinatoria},
    year = {2018},
    volume = {139},
    pages = {43-54},
    author = {X. Feng, J. Wang and F. Belardo},
},

@article{signed_cycles,
    type = {journal},
    title = {Spectral characterizations of signed cycles},
    journal = {Linear Algebra and Its Applications},
    year = {2018},
    volume = {553},
    pages = {307-327},
    author = {S. Akbari, F. Belardo, E. Dodongeh and M.A. Nematollahi},
    website = {https://www.sciencedirect.com/science/article/pii/S002437951830243X},
    doi = {10.1016/j.laa.2018.05.012},
},

@article{Eccentricity1,
    type = {journal},
    title = {The anti-adjacency matrix of a graph: Eccentricity matrix},
    journal = {Discrete Applied Mathematics},
    year = {2018},
    volume = {251},
    pages = {299-309},
    author = {J. Wang, M. Lu, F. Belardo and M. Randić},
    website = {https://www.sciencedirect.com/science/article/pii/S0166218X18303342},
    doi = {10.1016/j.dam.2018.05.062},
},

@article{completocoronaciclo,
    type = {journal},
    title = {Wreath product of a complete graph with a cyclic graph: Topological indices and spectrum},
    journal = {Applied Mathematics and Computation},
    year = {2018},
    volume = {336},
    pages = {288-300},
    author = {F. Belardo, M. Cavaleri, and A. Donno},
    website = {https://www.sciencedirect.com/science/article/pii/S0096300318304181},
    doi = {10.1016/j.amc.2018.05.015},
},

@article{eigenspaces_compound,
    type = {journal},
    title = {On eigenspaces of some compound signed graphs},
    journal = {Linear Algebra and Its Applications},
    year = {2016},
    volume = {509},
    pages = {19-39},
    author = {F. Belardo, I. Sciriha and S.K. Simić},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379516302701},
    doi = {10.1016/j.laa.2016.07.008},
},

@article{least-2,
    type = {journal},
    title = {On graphs whose least eigenvalue is greater than -2},
    journal = {Linear and Multilinear Algebra},
    year = {2016},
    volume = {64},
    number = {8},
    pages = {1570-1582},
    author = {F. Belardo, T. Pisanski and S.K. Simić},
    website = {https://www.tandfonline.com/doi/abs/10.1080/03081087.2015.1107020},
    doi = {10.1080/03081087.2015.1107020},
},

@article{secondLaplacian3,
    type = {journal},
    title = {On signed graphs whose second largest Laplacian eigenvalue does not exceed 3},
    journal = {Linear and Multilinear Algebra},
    year = {2016},
    volume = {64},
    number = {9},
    pages = {1785-1799},
    author = {F. Belardo, P. Petecki and J.F. Wang},
    website = {https://www.tandfonline.com/doi/abs/10.1080/03081087.2015.1120701},
    doi = {10.1080/03081087.2015.1120701},
},

@article{leastsigneduni,
    type = {journal},
    title = {Signed Graphs with extremal least Laplacian eigenvalue},
    journal = {Linear Algebra and Its Applications},
    year = {2016},
    volume = {497},
    pages = {167-180},
    author = {F. Belardo and Y. Zhou},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379516001403},
    doi = {10.1016/j.laa.2016.02.028},
},

@article{starsigned,
    type = {journal},
    title = {Signed line graphs with least eigenvalue -2: The star complement technique},
    journal = {Discrete Applied Mathematics},
    year = {2016},
    volume = {207},
    pages = {29-38},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    website = {https://www.sciencedirect.com/science/article/pii/S0166218X16300828},
    doi = {10.1016/j.dam.2016.02.018},
},

@article{signedlollipop,
    doi = {10.1016/j.laa.2015.04.022},
    year = {2015},
    volume = {480},
    pages = {144--167},
    author = {F. Belardo and P. Petecki},
    title = {Spectral characterizations of signed lollipop graphs},
    journal = {Linear Algebra and its Applications},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379515002633},
},

@article{signedLaplaciancoeff,
    title = {On the Laplacian coefficients of signed graphs},
    journal = {Linear Algebra and its Applications},
    author = {F. Belardo and S.K. Simić},
    doi = {10.1016/j.laa.2015.02.007},
    year = {2015},
    type = {journal},
    volume = {475},
    pages = {94--113},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379515000890},
},

@article {Zagreb,
    type = {journal},
    title = {A lower bound for the first Zagreb index and its application},
    journal = {Match},
    year = {2015},
    volume = {74},
    number = {1},
    pages = {35-56},
    author = {J.F. Wang and F. Belardo},
    website = {http://match.pmf.kg.ac.rs/content74n1.htm},
    durl = {http://match.pmf.kg.ac.rs/electronic_versions/Match74/n1/match74n1_35-56.pdf},
},

@article{indexbiciclicibigradi,
    title = {On the largest eigenvalue of some bidegreed graphs},
    journal = {Linear and Multilinear Algebra},
    year = {2015},
    author = {F. Belardo},
    volume = {63},
    number = {1},
    pages = {166-184},
    type = {journal},
    website = {https://www.tandfonline.com/doi/abs/10.1080/03081087.2013.860591},
    doi = {10.1080/03081087.2013.860591},
},

@article {lineT-shape,
    title = {Signless Laplacian spectral characterization of line graphs of T-shape trees},
    journal = {Linear and Multilinear Algebra},
    year = {2014},
    volume = {62},
    number = {11},
    pages = {1529-1545},
    author = {J.F. Wang, F. Belardo and Q.L. Zhang},
    type = {journal},
    website = {https://www.tandfonline.com/doi/abs/10.1080/03081087.2013.839668},
    doi = {10.1080/03081087.2013.839668},
},

@article{Algebraicfrustration,
	year = {2014},
	%month = {apr},
	publisher = {Elsevier BV},
	volume = {446},
	pages = {133-147},
	author = {F. Belardo},
	title = {Balancedness and the least eigenvalue of Laplacian of signed graphs},
	journal = {Linear Algebra and its Applications},
        type = {journal},
   	doi = {10.1016/j.laa.2014.01.001},
	website = {https://doi.org/10.1016/j.laa.2014.01.001},
},

@article {bidegreedconj,
    title = {On the structure of bidegreed graphs with minimal spectral radius},
    journal = {Filomat},
    year = {2014},
    volume = {28},
    number = {1},
    pages = {1-10},
    author = {F. Belardo},
    type = {journal},
    doi = {10.2298/FIL1401001B},
    website = {http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/issue/view/1},
},

@article {3-roses,
    title = {On the spectral characterizations of 3-rose graphs},
    journal = {Utilitas Mathematica},
    year = {2013},
    volume = {91},
    pages = {33-46},
    author = {J.F. Wang, Q.X. Huang and F. Belardo},
    type = {journal},
    durl = {https://www.researchgate.net/publication/262685958_On_the_spectral_characterizations_of_3-rose_graphs/download},
},

@article{tadpole,
    title = {Almost every complement of a tadpole graph is not chromatically unique},
    journal = {Ars Combinatoria},
    year = {2013},
    volume = {108},
    pages = {33-49},
    author = {J.F. Wang, Q.X. Huang, K.L. Teo, F. Belardo, R.Y. Liu, and C.F. Ye},
    type = {journal},
    durl = {https://www.researchgate.net/publication/262685671_Almost_every_complement_of_a_tadpole_graph_is_not_chromatically_unique/download},
},

@article{Laplacian4.5,
    title = {On graphs whose Laplacian index does not exceed 4.5},
    journal = {Linear Algebra and Its Applications},
    year = {2013},
    author = {J.F. Wang, F. Belardo, Q.X. Huang and E.M. Li Marzi},
    volume = {438},
    number = {4},
    pages = {1541-1550},
    type = {journal},
    doi = {10.1016/j.laa.2011.02.043},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379511001777},
},

@article {3Q-eigenvalue2,
    title = {On graphs with exactly three Q-eigenvalues at least two},
    journal = {Linear Algebra and Its Applications},
    year = {2013},
    volume = {438},
    number = {7},
    pages = {2861-2879},
    author = {J. Wang, F. Belardo, W. Wang and Q. Huang},
    type = {journal},
    doi = {10.1016/j.laa.2012.11.032},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379512008397},
},

@article {bidegreenote,
    title = {Perturbations on bidegreed graphs minimizing the spectral radius},
    journal = {Electronic Notes in Discrete Mathematics},
    year = {2013},
    volume = {40},
    pages = {33-37},
    author = {F .Belardo},
    type = {journal},
    doi = {10.1016/j.endm.2013.05.007},
    website = {https://www.sciencedirect.com/science/article/pii/S1571065313000085},
},

@article {belardo2013,
    title = {Signless Laplacian eigenvalues and circumference of graphs},
    journal = {Discrete Applied Mathematics},
    year = {2013},
    volume = {161},
    number = {10-11},
    pages = {1610-1617},
    author = {J.F. Wang and F. Belardo},
    type = {journal},
    doi = {10.1016/j.dam.2013.01.013},
    website = {https://www.sciencedirect.com/science/article/pii/S0166218X13000371},
},

@article {smallindex,
    title = {Spectral characterizations of graphs with small spectral radius},
    journal = {Linear Algebra and Its Applications},
    year = {2012},
    volume = {437},
    number = {10},
    pages = {2408-2416},
    author = {J.F. Wang and F. Belardo},
    type = {journal},
    doi = {10.1016/j.laa.2012.06.028},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379512004764},
},

@article{noteQeigenv,
    title = {A note on the signless Laplacian eigenvalues of graphs},
    journal = {Linear Algebra and Its Applications},
    year = {2011},
    author = {J.F. Wang and F. Belardo},
    volume = {435},
    number = {10},
    pages = {2585-2590},
    type = {journal},
    doi = {10.1016/j.laa.2011.04.004},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379511002916},
},

@article {permpol,
    title = {Computing the permanental polynomial of a matrix from a combinatorial viewpoint},
    journal = {Match},
    year = {2011},
    volume = {66},
    number = {1},
    pages = {381-396},
    author = {F. Belardo, V. De Filippis, and S.K. Simić},
    type = {journal},
    durl = {http://match.pmf.kg.ac.rs/electronic_versions/Match66/n1/match66n1_381-396.pdf},
    website = {http://match.pmf.kg.ac.rs/content66n1.htm},
},

@article {Hofflim,
    title = {Graphs whose signless Laplacian spectral radius does not exceed the Hoffman limit value},
    journal = {Linear Algebra and Its Applications},
    year = {2011},
    volume = {435},
    number = {11},
    pages = {2913-2920},
    author = {F. Belardo, E.M. Li Marzi, S.K. Simić and J.F. Wang},
    type = {journal},
    doi = {10.1016/j.laa.2011.05.006},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379511003661},
},

@article{Lapldisjpathcycle,
    title = {Laplacian spectral characterization of disjoint union of paths and cycles},
    journal = {Linear and Multilinear Algebra},
    year = {2011},
    author = {J.F. Wang, S.K. Simić, Q.X. Huang, F. Belardo and E.M. Li Marzi},
    volume = {59},
    number = {5},
    pages = {531-539},
    type = {journal},
    doi = {10.1080/03081081003605777},
    website = {https://www.tandfonline.com/doi/abs/10.1080/03081081003605777},
},

@article {Combpol,
    title = {Combinatorial approach for computing the characteristic polynomial of a matrix},
    journal = {Linear Algebra and Its Applications},
    year = {2010},
    volume = {433},
    number = {8-10},
    pages = {1513-1523},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić,},
    type = {journal},
    doi = {10.1016/j.laa.2010.05.010},
    website = {https://www.sciencedirect.com/science/article/pii/S002437951000265X},
},

@article {Nested2,
    title = {Connected graphs of fixed order and size with maximal index: Some spectral bounds},
    journal = {Linear Algebra and Its Applications},
    year = {2010},
    volume = {432},
    number = {9},
    pages = {2361-2372},
    author = {S.K. Simić, F. Belardo, E.M. Li Marzi and D.V. Tošić},
    type = {journal},
    doi = {10.1016/j.laa.2009.06.043},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379509003383},
},

@article{Necklaces,
    title = {On the Index of Necklaces},
    journal = {Graphs and Combinatorics},
    year = {2010},
    author = {F. Belardo, E.M. Li Marzi, S.K. Simić and J.F. Wang},
    volume = {26},
    number = {2},
    pages = {163-172},
    type = {journal},
    doi = {10.1007/s00373-010-0910-4},
    website = {https://link.springer.com/article/10.1007/s00373-010-0910-4},
},

@article{infinity,
    title = {On the spectral characterizations of ∞-graphs},
    journal = {Discrete Mathematics},
    year = {2010},
    author = {J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi},
    volume = {310},
    number = {13-14},
    pages = {1845-1855},
    type = {journal},
    doi = {10.1016/j.disc.2010.01.021},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X10000683},
},

@article{unicyclicdegree,
    title = {On the spectral radius of unicyclic graphs with prescribed degree sequence},
    journal = {Linear Algebra and Its Applications},
    year = {2010},
    author = {F. Belardo, E.M. Li Marzi, S.K. Simić and J.F. Wang},
    volume = {432},
    number = {9},
    pages = {2323-2334},
    type = {journal},
    doi = {10.1016/j.laa.2009.06.008},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379509003024},
},

@article{2Q-eigenv,
    title = {On the two largest Q-eigenvalues of graphs},
    journal = {Discrete Mathematics},
    year = {2010},
    author = {J.F. Wang, F. Belardo, Q.X. Huang and B. Borovićanin},
    volume = {310},
    number = {21},
    pages = {2858-2866},
    type = {journal},
    doi = {10.1016/j.disc.2010.06.030},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X1000244X},
},

@article{someresLap,
    title = {Some results on the signless Laplacians of graphs},
    journal = {Applied Mathematics Letters},
    year = {2010},
    author = {J.F. Wang, Q.X. Huang, X.H. An and F. Belardo},
    volume = {23},
    number = {9},
    pages = {1045-1049},
    type = {journal},
    doi = {10.1016/j.aml.2010.04.034},
    website = {https://www.sciencedirect.com/science/article/pii/S0893965910001497},
},

@article{dumbbell2,
    title = {Spectral characterizations of dumbbell graphs},
    journal = {Electronic Journal of Combinatorics},
    year = {2010},
    author = {J.F. Wang, F. Belardo, Q.X. Huang and E.M. Li Marzi},
    volume = {17},
    articleno = {#R42},
    type = {journal},
    pages = {1-16},
    durl = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r42/pdf},
    website = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v17i1r42},
},

@article{diam4,
    title = {Trees with minimal index and diameter at most four},
    journal = {Discrete Mathematics},
    year = {2010},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    volume = {310},
    number = {12},
    pages = {1708-1714},
    type = {journal},
    doi = {10.1016/j.disc.2009.11.022},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X09005810},
},

@article {theta,
    title = {On the spectral characterization of theta graphs},
    journal = {Match},
    year = {2009},
    volume = {62},
    number = {3},
    pages = {581-598},
    author = {J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi},
    type = {journal},
    website = {http://match.pmf.kg.ac.rs/content62n3.htm},
    durl = {http://match.pmf.kg.ac.rs/electronic_versions/Match62/n3/match62n3_581-598.pdf},
},

@article {dumbbell1,
    title = {A note on the spectral characterization of dumbbell graphs},
    journal = {Linear Algebra and Its Applications},
    year = {2009},
    volume = {431},
    number = {10},
    pages = {1707-1714},
    author = {J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi},
    type = {journal},
    doi = {10.1016/j.laa.2009.06.009},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379509003000},
},

@article {SignlessLapl4.5,
    title = {On graphs whose signless Laplacian index does not exceed 4.5},
    journal = {Linear Algebra and Its Applications},
    year = {2009},
    volume = {431},
    number = {1-2},
    pages = {162-178},
    author = {J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi},
    type = {journal},
    doi = {10.1016/j.laa.2009.02.017},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379509000962},
},

@article {treebidegreed,
    title = {Bidegreed trees with small index},
    journal = {Match},
    year = {2009},
    volume = {61},
    number = {2},
    pages = {503-515},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    type = {journal},
    website = {http://match.pmf.kg.ac.rs/content61n2.htm},
    durl = {http://match.pmf.kg.ac.rs/electronic_versions/Match61/n2/match61n2_503-515.pdf},
},

@article {AIP,
    title = {Schwenk-like formulas for weighted digraphs},
    journal = {AIP Conference Proceedings},
    year = {2009},
    volume = {1168},
    pages = {1251-1254},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    type = {journal},
    series = {Numerical Analysis and Applied Mathematics},
    Location = {Rethymno, Crete},
    isbn = {978-0-7354-0709-1},
    doi = {10.1063/1.3241302},
    website = {https://aip.scitation.org/doi/10.1063/1.3241302},
},

@article {caterpillars,
    title = {On the index of caterpillars},
    journal = {Discrete Mathematics},
    year = {2008},
    volume = {308},
    number = {2-3},
    pages = {324-330},
    author = {S.K. Simić, E.M. Li Marzi and F. Belardo},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0012365X07003731},
    doi = {10.1016/j.disc.2006.11.046},
},

@article {ordering,
    title = {Ordering graphs with index in the interval (2, √(2+√5))},
    journal = {Discrete Applied Mathematics},
    year = {2008},
    volume = {156},
    number = {10},
    pages = {1670-1682},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0166218X07003757},
    doi = {10.1016/j.dam.2007.08.027},
},

@article{threehalfroot2,
    title = {Some notes on graphs whose spectral radius is close to 3/2 √2},
    journal = {Linear Algebra and Its Applications},
    year = {2008},
    author = {J.F. Wang, Q.X. Huang, X.H. An and F. Belardo},
    volume = {429},
    number = {7},
    pages = {1606-1618},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379508002176},
    doi = {10.1016/j.laa.2008.04.034},
},

@article{pathlike,
    title = {Path-like graphs ordered by the index},
    journal = {International Journal of Algebra},
    year = {2007},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    volume = {1},
    number = {2/3},
    pages = {113-128},
    type = {journal},
    durl = {http://www.m-hikari.com/ija/ija-password-2007/ija-password1-4-2007/limarziIJA1-4-2007.pdf},
    doi = {10.12988/ija.2007.07013},
    website = {http://www.m-hikari.com/ija/ija-password-2007/ija-password1-4-2007/index.html},
},

@article{close2,
    title = {Some notes on graphs whose index is close to 2},
    journal = {Linear Algebra and Its Applications},
    year = {2007},
    volume = {423},
    number = {1},
    pages = {81-89},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379506004241},
    doi = {10.1016/j.laa.2006.09.009},
},

@article {unicyclic,
    title = {Some results on the index of unicyclic graphs},
    journal = {Linear Algebra and Its Applications},
    year = {2006},
    volume = {416},
    number = {2-3},
    pages = {1048-1059},
    author = {F. Belardo, E.M. Li Marzi and S.K. Simić},
    type = {journal},
    website = {https://www.sciencedirect.com/science/article/pii/S0024379506000413},
    doi = {10.1016/j.laa.2006.01.008},
},

@article{Nested1,
    title = {Connected graphs of fixed order and size with maximal index: Structural Considerations},
    journal = {Le Matematiche},
    year = {2004},
    author = {S.K. Simić, E.M. Li Marzi and F. Belardo},
    volume = {59},
    number = {2-3},
    pages = {349-365},
    type = {journal},
    website = {https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/175},
    durl = {https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/175/154},
}

@article{WGTTG_pref,
    title = {Introduction to the proceedings of WGTTG2021},
    booktitle = {Transactions on Combinatorics},
    author = {F. Belardo, F.G. Russo and P. Sarti},
    volume = {11, issue 3},
    number = {3},
    year = {2022},
    pages = {i-viii},
    type = {editorial},
    durl = {https://toc.ui.ac.ir/article_26729_23aad4efe27fef9fc39e1407bc55b214.pdf},
    website = {https://toc.ui.ac.ir/article_26729.html},
    doi={10.22108/TOC.2022.26729},
},

@article{Discuss_pref,
    title = {Preface},
    booktitle = {Discussiones Mathematicae Graph Theory},
    author = {M. Anđelić, F. Belardo, Z. Stanić},
    volume = {40, number 2},
    year = {2020},
    pages = {365-366},
    type = {editorial},
    durl = {https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=20830},
    website = {https://www.dmgt.uz.zgora.pl/publish/bbl_volume.php?ID=18158},
    doi={10.7151/dmgt.2277},
},

@book{Simic2019,
   booktitle = {Matematička dostignuća Slobodana Simića - Mathematical Achievements of Slobodan Simić,},
   author = {F. Belardo, D. Cvetković, T. Davidović and Z. Stanić (editors)},
   year = {2019},
   isbn = {9788674668160},
   publisher = {Akademska Misao},
   type = {editorial},
   address = {Belgrade, Serbia},
},

@article{adam_editorial,
    title = {The International Congress on Hypergraphs, Graphs and Designs – HyGraDe 2017},
    booktitle = {The Art of Discrete and Applied Mathematics},
    year = {2018},
    author = {F. Belardo},
    volume = {1, number 2, #E2.01},
    articleno = {E2.01},
    pages = {2},
    type = {editorial},
    website = {https://adam-journal.eu/index.php/ADAM/article/view/1278},
    doi={10.26493/2590-9770.1278.9f3},
    durl = {https://adam-journal.eu/index.php/ADAM/article/view/1278/1053},
},

@article{prefaceaapp,
    title = {Preface: The congress HyGraDe 2017 and a biographical note on Mario Gionfriddo},
    booktitle = {Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali},
    year = {2018},
    volume = {96, issue S2, #E1},
    articleno = {E1},
    pages = {4},
    author = {F. Belardo and A. Tripodi},
    type = {editorial},
    website = {http://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.96S2E1},
    doi = {10.1478/AAPP.96S2E1},
    durl= {http://cab.unime.it/journals/index.php/AAPP/article/view/AAPP.96S2E1/AAPP96S2E1},
},