Belardo > All Publications

## Papers in Journals

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