Belardo > All Publications

## Papers in Journals

**[J65]**F. Belardo, M. Brunetti and A. Ciampella,**Unbalanced unicyclic and bicyclic graphs with extremal spectral radius**,*Czechoslovak Mathematical Journal*(2020), pp. 11, to appear (2020).**[J64]**J.F. Wang, J. Wang, X. Liu, F. Belardo,**Graphs whose $A_\alpha$-spectral radius does not exceed 2**,*Discussiones Mathematicae: Graph Theory*40 (2020), no. 2, pp. 14, in press.**[J63]**F. Belardo, M. Brunetti, M. Cavaleri and A. Donno,**Constructing cospectral signed graphs**,*Linear and Multilinear Algebra*(2019), pp. 15, in press.**[J62]**F. Belardo, M. Brunetti and N. Reff,**Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs**,*Discussiones Mathematicae: Graph Theory*40 (2020), no. 2, pp. 17, in press.**[J61]**J.F. Wang, M. Lu, L. Lu and F. Belardo,**Spectral properties of the eccentricity matrix of graphs**,*Discrete Applied Mathematics*(2019), pp. 10, in press.**[J60]**A. Alazemi, M. Andelic, F. Belardo, M. Brunetti and C.M. da Fonseca,**Line and subdivision graphs determined by T4-gain graphs**,*Mathematics*7 (2019), no. 10, 926, pp. 12.**[J59]**Y. Yao, M. Liu, F. Belardo and C. Yang,**Unified extremal results of topological indices and spectral invariants of graphs**,*Discrete Applied Mathematics*271 (2019), pp. 218-232.**[J58]**S. Akbari, F. Belardo, F. Heydari, M. Maghasedi and M. Souri,**On the largest eigenvalue of signed unicyclic graphs**,*Linear Algebra and its Applications*581 (2019), pp. 145-161.**[J57]**F. Belardo, M. Brunetti and A. Ciampella,**On the multiplicity of $\alpha$ as an $A_\alpha(\Gamma)$-eigenvalue**,*Discrete Mathematics*342 (2019), no. 8, pp. 2223-2233.**[J56]**F. Belardo, E. Oliveira and V. Trevisan,**Spectral ordering of trees with small index**,*Linear Algebra and its Applications*575 (2019), pp. 250-272.**[J55]**F. Belardo, M. Brunetti and A. Ciampella,**Edge Perturbations on Signed Graphs with Clusters: Adjacency and Laplacian Eigenvalues**,*Discrete Applied Mathematics*269 (2019), pp. 130-138.**[J54]**F. Belardo and M. Brunetti,**Connected signed graphs L-cospectral to signed $\infty$-graphs**,*Linear and Multilinear Algebra*67 (2019), no. 12, pp. 2410-2426.**[J53]**F. Belardo,**The International Congress on Hypergraphs, Graphs and Designs – HyGraDe 2017**,*The Art of Discrete and Applied Mathematics*1 (2018), no. 2, #E2.01, pp. 2.**[J52]**F. Belardo, S. Cioaba, J. Koolen and J.F. Wang,**Open problems in the spectral theory of signed graphs**,*The Art of Discrete and Applied Mathematics*1 (2018), no. 2, #P2.10, pp. 23.**[J51]**F. Belardo and A. Tripodi,**Preface: The congress HyGraDe 2017 and a biographical note on Mario Gionfriddo**,*AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali*96 (2018), no. S2, E1, pp. 1-4.**[J50]**F. Belardo, M. Brunetti and A. Ciampella,**Signed bicyclic graphs minimizing the least Laplacian eigenvalue**,*Linear Algebra and Its Applications*557 (2018), pp. 201-233.**[J49]**F. Belardo, M. Cavaleri and A. Donno,**Spectral analysis of the wreath product of a complete graph with a cocktail party graph**,*AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali*96 (2018), no. S2, A1, pp. 1-11.**[J48]**X. Feng, J. Wang and F. Belardo,**Spectral characterizations of graphs with at most two (signless) Laplacian eigenvalues greater than 2**,*Ars Combinatoria*139 (2018), pp. 43-54.**[J47]**S. Akbari, F. Belardo, E. Dodongeh and M.A. Nematollahi,**Spectral characterizations of signed cycles**,*Linear Algebra and Its Applications*553 (2018), pp. 307-327.**[J46]**J. Wang, M. Lu, F. Belardo and M. Randić,**The anti-adjacency matrix of a graph: Eccentricity matrix**,*Discrete Applied Mathematics*251 (2018), pp. 299-309.**[J45]**F. Belardo, M. Cavaleri, and A. Donno,**Wreath product of a complete graph with a cyclic graph: Topological indices and spectrum**,*Applied Mathematics and Computation*336 (2018), pp. 288-300.**[J44]**F. Belardo, I. Sciriha and S.K. Simić,**On eigenspaces of some compound signed graphs**,*Linear Algebra and Its Applications*509 (2016), pp. 19-39.**[J43]**F. Belardo, T. Pisanski and S.K. Simić,**On graphs whose least eigenvalue is greater than -2**,*Linear and Multilinear Algebra*64 (2016), no. 8, pp. 1570-1582.**[J42]**F. Belardo, P. Petecki and J.F. Wang,**On signed graphs whose second largest Laplacian eigenvalue does not exceed 3**,*Linear and Multilinear Algebra*64 (2016), no. 9, pp. 1785-1799.**[J41]**F. Belardo and Y. Zhou,**Signed Graphs with extremal least Laplacian eigenvalue**,*Linear Algebra and Its Applications*497 (2016), pp. 167-180.**[J40]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Signed line graphs with least eigenvalue -2: The star complement technique**,*Discrete Applied Mathematics*207 (2016), pp. 29-38.**[J39]**F. Belardo and P. Petecki,**Spectral characterizations of signed lollipop graphs**,*Linear Algebra and its Applications*480 (2015), pp. 144--167.**[J38]**F. Belardo and S.K. Simić,**On the Laplacian coefficients of signed graphs**,*Linear Algebra and its Applications*(2015),**[J37]**J.F. Wang and F. Belardo,**A lower bound for the first Zagreb index and its application**,*Match*74 (2015), no. 1, pp. 35-56.**[J36]**F. Belardo,**On the largest eigenvalue of some bidegreed graphs**,*Linear and Multilinear Algebra*63 (2015), no. 1, pp. 166-184.**[J35]**J.F. Wang, F. Belardo and Q.L. Zhang,**Signless Laplacian spectral characterization of line graphs of T-shape trees**,*Linear and Multilinear Algebra*62 (2013), no. 11, pp. 1529-1545.**[J34]**F. Belardo,**Balancedness and the least eigenvalue of Laplacian of signed graphs**,*Linear Algebra and its Applications*446 (2014), pp. 133-147.**[J33]**F. Belardo,**On the structure of bidegreed graphs with minimal spectral radius**,*Filomat*28 (2014), no. 1, pp. 1-10.**[J32]**J.F. Wang, Q.X. Huang and F. Belardo,**On the spectral characterizations of 3-rose graphs**,*Utilitas Mathematica*91 (2013), pp. 33-46.**[J31]**J.F. Wang, Q.X. Huang, K.L. Teo, F. Belardo, R.Y. Liu, and C.F. Ye,**Almost every complement of a tadpole graph is not chromatically unique**,*Ars Combinatoria*108 (2013), pp. 33-49.**[J30]**J.F. Wang, F. Belardo, Q.X. Huang and E.M. Li Marzi,**On graphs whose Laplacian index does not exceed 4.5**,*Linear Algebra and Its Applications*438 (2013), no. 4, pp. 1541-1550.**[J29]**J. Wang, F. Belardo, W. Wang and Q. Huang,**On graphs with exactly three Q-eigenvalues at least two**,*Linear Algebra and Its Applications*438 (2013), no. 7, pp. 2861-2879.**[J28]**F .Belardo,**Perturbations on bidegreed graphs minimizing the spectral radius**,*Electronic Notes in Discrete Mathematics*40 (2013), pp. 33-37.**[J27]**J.F. Wang and F. Belardo,**Signless Laplacian eigenvalues and circumference of graphs**,*Discrete Applied Mathematics*161 (2013), no. 10-11, pp. 1610-1617.**[J26]**J.F. Wang and F. Belardo,**Spectral characterizations of graphs with small spectral radius**,*Linear Algebra and Its Applications*437 (2012), no. 10, pp. 2408-2416.**[J25]**J.F. Wang and F. Belardo,**A note on the signless Laplacian eigenvalues of graphs**,*Linear Algebra and Its Applications*435 (2011), no. 10, pp. 2585-2590.**[J24]**F. Belardo, V. De Filippis, and S.K. Simić,**Computing the permanental polynomial of a matrix from a combinatorial viewpoint**,*Match*66 (2011), no. 1, pp. 381-396.**[J23]**F. Belardo, E.M. Li Marzi, S.K. Simić and J.F. Wang,**Graphs whose signless Laplacian spectral radius does not exceed the Hoffman limit value**,*Linear Algebra and Its Applications*435 (2011), no. 11, pp. 2913-2920.**[J22]**J.F. Wang, S.K. Simić, Q.X. Huang, F. Belardo and E.M. Li Marzi,**Laplacian spectral characterization of disjoint union of paths and cycles**,*Linear and Multilinear Algebra*59 (2011), no. 5, pp. 531-539.**[J21]**F. Belardo, E.M. Li Marzi and S.K. Simić,,**Combinatorial approach for computing the characteristic polynomial of a matrix**,*Linear Algebra and Its Applications*433 (2010), no. 8-10, pp. 1513-1523.**[J20]**S.K. Simić, F. Belardo, E.M. Li Marzi and D.V. Tošić,**Connected graphs of fixed order and size with maximal index: Some spectral bounds**,*Linear Algebra and Its Applications*432 (2010), no. 9, pp. 2361-2372.**[J19]**F. Belardo, E.M. Li Marzi, S.K. Simić and J.F. Wang,**On the Index of Necklaces**,*Graphs and Combinatorics*26 (2010), no. 2, pp. 163-172.**[J18]**J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi,**On the spectral characterizations of ∞-graphs**,*Discrete Mathematics*310 (2010), no. 13-14, pp. 1845-1855.**[J17]**F. Belardo, E.M. Li Marzi, S.K. Simić and J.F. Wang,**On the spectral radius of unicyclic graphs with prescribed degree sequence**,*Linear Algebra and Its Applications*432 (2010), no. 9, pp. 2323-2334.**[J16]**J.F. Wang, F. Belardo, Q.X. Huang and B. Borovićanin,**On the two largest Q-eigenvalues of graphs**,*Discrete Mathematics*310 (2010), no. 21, pp. 2858-2866.**[J15]**J.F. Wang, Q.X. Huang, X.H. An and F. Belardo,**Some results on the signless Laplacians of graphs**,*Applied Mathematics Letters*23 (2010), no. 9, pp. 1045-1049.**[J14]**J.F. Wang, F. Belardo, Q.X. Huang and E.M. Li Marzi,**Spectral characterizations of dumbbell graphs**,*Electronic Journal of Combinatorics*17 (2010), #R42, pp. 1-16.**[J13]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Trees with minimal index and diameter at most four**,*Discrete Mathematics*310 (2010), no. 12, pp. 1708-1714.**[J12]**J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi,**On the spectral characterization of theta graphs**,*Match*62 (2009), no. 3, pp. 581-598.**[J11]**J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi,**A note on the spectral characterization of dumbbell graphs**,*Linear Algebra and Its Applications*431 (2009), no. 10, pp. 1707-1714.**[J10]**J.F. Wang, Q.X. Huang, F. Belardo and E.M. Li Marzi,**On graphs whose signless Laplacian index does not exceed 4.5**,*Linear Algebra and Its Applications*431 (2009), no. 1-2, pp. 162-178.**[J9]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Bidegreed trees with small index**,*Match*61 (2009), no. 2, pp. 503-515.**[J8]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Schwenk-like formulas for weighted digraphs**,*AIP Conference Proceedings*1168 (2009), pp. 1251-1254.**[J7]**S.K. Simić, E.M. Li Marzi and F. Belardo,**On the index of caterpillars**,*Discrete Mathematics*308 (2008), no. 2-3, pp. 324-330.**[J6]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Ordering graphs with index in the interval (2, √(2+√5))**,*Discrete Applied Mathematics*156 (2008), no. 10, pp. 1670-1682.**[J5]**J.F. Wang, Q.X. Huang, X.H. An and F. Belardo,**Some notes on graphs whose spectral radius is close to 3/2 √2**,*Linear Algebra and Its Applications*429 (2008), no. 7, pp. 1606-1618.**[J4]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Path-like graphs ordered by the index**,*International Journal of Algebra*1 (2007), no. 2/3, pp. 113-128.**[J3]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Some notes on graphs whose index is close to 2**,*Linear Algebra and Its Applications*423 (2007), no. 1, pp. 81-89.**[J2]**F. Belardo, E.M. Li Marzi and S.K. Simić,**Some results on the index of unicyclic graphs**,*Linear Algebra and Its Applications*416 (2006), no. 2-3, pp. 1048-1059.**[J1]**S.K. Simić, E.M. Li Marzi and F. Belardo,**Connected graphs of fixed order and size with maximal index: Structural Considerations**,*Le Matematiche*59 (2004), no. 2-3, pp. 349-365.