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Belardo, Francesco

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Author ID: belardo.francesco Recent zbMATH articles by "Belardo, Francesco"
Published as: Belardo, F.; Belardo, Francesco
Homepage: http://www.dma.unina.it/belardo/
External Links: MGP · ORCID · ResearchGate
Documents Indexed: 61 Publications since 2004

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 369 times in 231 Documents Cited by Year
On the Laplacian coefficients of signed graphs. Zbl 1312.05078
Belardo, Francesco; Simić, Slobodan K.
27
2015
On the spectral characterizations of \(\infty \)-graphs. Zbl 1231.05174
Wang, Jianfeng; Huang, Qingxiang; Belardo, Francesco; Marzi, Enzo M. Li
27
2010
On graphs whose signless Laplacian index does not exceed 4.5. Zbl 1171.05035
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco; Li Marzi, Enzo M.
21
2009
Spectral characterizations of signed lollipop graphs. Zbl 1315.05083
Belardo, Francesco; Petecki, Paweł
20
2015
On the two largest \(Q\)-eigenvalues of graphs. Zbl 1208.05079
Wang, JianFeng; Belardo, Francesco; Huang, QiongXiang; Borovićanin, Bojana
20
2010
Some results on the index of unicyclic graphs. Zbl 1092.05043
Belardo, Francesco; Li Marzi, Enzo Maria; Simić, Slobodan K.
18
2006
Balancedness and the least eigenvalue of Laplacian of signed graphs. Zbl 1285.05112
Belardo, Francesco
16
2014
On the spectral radius of unicyclic graphs with prescribed degree sequence. Zbl 1218.05088
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.; Wang, Jianfeng
15
2010
Some notes on graphs whose spectral radius is close to \(\frac{3}{2}\sqrt 2\). Zbl 1144.05323
Wang, Jianfeng; Huang, Qiongxiang; An, Xinhui; Belardo, Francesco
14
2008
On the index of caterpillars. Zbl 1130.05037
Simić, Slobodan K.; Li Marzi, Enzo Maria; Belardo, Francesco
14
2008
Connected graphs of fixed order and size with maximal index: structural considerations. Zbl 1195.05045
Simić, S. K.; Li Marzi, E. M.; Belardo, F.
13
2004
Combinatorial approach for computing the characteristic polynomial of a matrix. Zbl 1211.05069
Belardo, Francesco; Marzi, Enzo M. Li; Simić, Slobodan K.
12
2010
Computing the permanental polynomial of a matrix from a combinatorial viewpoint. Zbl 1289.05268
Belardo, Francesco; De Filippis, Vincenco; Simić, Slobodan K.
11
2011
A note on the spectral characterization of dumbbell graphs. Zbl 1175.05089
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco; Li Marzi, Enzo M.
8
2009
Ordering graphs with index in the interval \((2, \sqrt{2+\sqrt 5})\). Zbl 1152.05347
Belardo, Francesco; Marzi, Enzo M. Li; Simić, Slobodan K.
8
2008
A note on the signless Laplacian eigenvalues of graphs. Zbl 1225.05176
Wang, Jianfeng; Belardo, Francesco
7
2011
On the multiplicity of \(\alpha\) as an \(A_\alpha(\varGamma)\)-eigenvalue of signed graphs with pendant vertices. Zbl 1418.05070
Belardo, Francesco; Brunetti, Maurizio; Ciampella, Adriana
6
2019
Spectral characterizations of signed cycles. Zbl 1391.05126
Akbari, Saieed; Belardo, Francesco; Dodongeh, Ebrahim; Nematollahi, Mohammad Ali
6
2018
A lower bound for the first Zagreb index and its application. Zbl 06749532
Wang, Jian-Feng; Belardo, Francesco
6
2015
Connected graphs of fixed order and size with maximal index: some spectral bounds. Zbl 1217.05157
Simić, Slobodan K.; Belardo, Francesco; Marzi, Enzo Maria Li; Tošić, Dejan V.
6
2010
Spectral characterizations of dumbbell graphs. Zbl 1215.05107
Wang, Jianfeng; Belardo, Francesco; Huang, Qiongxiang; Marzi, Enzo M. Li
6
2010
The anti-adjacency matrix of a graph: eccentricity matrix. Zbl 1401.05102
Wang, Jianfeng; Lu, Mei; Belardo, Francesco; Randić, Milan
5
2018
Signed graphs with extremal least Laplacian eigenvalue. Zbl 1331.05135
Belardo, Francesco; Zhou, Yue
5
2016
On the spectral characterizations of 3-rose graphs. Zbl 1294.05112
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco
5
2013
Laplacian spectral characterization of disjoint union of paths and cycles. Zbl 1223.05182
Wang, J. F.; Simić, S. K.; Huang, Q. X.; Belardo, F.; Marzi, E. M. Li
5
2011
Path-like graphs ordered by the index. Zbl 1127.05061
Belardo, F.; Li Marzi, E. M.; Simić, S. K.
5
2007
Unified extremal results of topological indices and spectral invariants of graphs. Zbl 1428.05158
Yao, Yuedan; Liu, Muhuo; Belardo, Francesco; Yang, Chao
4
2019
On signed graphs whose second largest Laplacian eigenvalue does not exceed 3. Zbl 1341.05148
Belardo, Francesco; Petecki, Paweł; Wang, Jianfeng
4
2016
Signed line graphs with least eigenvalue -2: the star complement technique. Zbl 1337.05051
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.
4
2016
On the index of necklaces. Zbl 1231.05165
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.; Wang, Jianfeng
4
2010
On the spectral characterization of theta graphs. Zbl 1224.05327
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco; Li Marzi, Enzo M.
4
2009
Some notes on graphs whose index is close to 2. Zbl 1114.05056
Belardo, Francesco; Marzi, Enzo Maria Li; Simić, Slobodan K.
4
2007
Signless Laplacian eigenvalues and circumference of graphs. Zbl 1287.05086
Wang, JianFeng; Belardo, Francesco
3
2013
On graphs whose Laplacian index does not exceed 4.5. Zbl 1259.05119
Wang, Jianfeng; Belardo, Francesco; Huang, QiongXiang; Marzi, Enzo M. Li
3
2013
Spectral characterizations of graphs with small spectral radius. Zbl 1250.05072
Wang, JianFeng; Belardo, Francesco
3
2012
Some results on the signless Laplacians of graphs. Zbl 1209.05148
Wang, Jianfeng; Huang, Qiongxiang; An, Xinhui; Belardo, Francesco
3
2010
Trees with minimal index and diameter at most four. Zbl 1222.05020
Belardo, Francesco; Marzi, Enzo M. Li; Simić, Slobodan K.
3
2010
On the largest eigenvalue of signed unicyclic graphs. Zbl 1420.05070
Akbari, Saieed; Belardo, Francesco; Heydari, Farideh; Maghasedi, Mohammad; Souri, Mona
2
2019
Open problems in the spectral theory of signed graphs. Zbl 1421.05052
Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng
2
2018
Signed bicyclic graphs minimizing the least Laplacian eigenvalue. Zbl 1396.05066
Belardo, Francesco; Brunetti, Maurizio; Ciampella, Adriana
2
2018
On the structure of bidegreed graphs with minimal spectral radius. Zbl 06704728
Belardo, Francesco
2
2014
Signless Laplacian spectral characterization of line graphs of \(T\)-shape trees. Zbl 1303.05120
Wang, Jianfeng; Belardo, Francesco; Zhang, Qianglong
2
2014
Graphs whose signless Laplacian spectral radius does not exceed the Hoffman limit value. Zbl 1221.05229
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.; Wang, Jianfeng
2
2011
Schwenk-like formulas for weighted digraphs. Zbl 1180.05050
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.
2
2009
Bidegreed trees with small index. Zbl 1199.05209
Belardo, Francesco; Li Marzi, Enzo
2
2009
Spectral properties of the eccentricity matrix of graphs. Zbl 1439.05146
Wang, Jianfeng; Lu, Mei; Lu, Lu; Belardo, Francesco
1
2020
Graphs whose \(A_\alpha \) -spectral radius does not exceed 2. Zbl 1433.05213
Wang, Jian Feng; Wang, Jing; Liu, Xiaogang; Belardo, Francesco
1
2020
Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs. Zbl 1433.05185
Belardo, Francesco; Brunetti, Maurizio; Reff, Nathan
1
2020
Connected signed graphs \(L\)-cospectral to signed \(\infty\)-graphs. Zbl 1425.05067
Belardo, Francesco; Brunetti, Maurizio
1
2019
Spectral ordering of trees with small index. Zbl 1441.05133
Belardo, Francesco; Oliveira, Elismar R.; Trevisan, Vilmar
1
2019
Wreath product of a complete graph with a cyclic graph: topological indices and spectrum. Zbl 1427.05187
Belardo, Francesco; Cavaleri, Matteo; Donno, Alfredo
1
2018
On graphs whose least eigenvalue is greater than \(-2\). Zbl 1341.05149
Belardo, Francesco; Pisanski, Tomaž; Simić, Slobodan K.
1
2016
On graphs with exactly three \(Q\)-eigenvalues at least two. Zbl 1259.05118
Wang, JianFeng; Belardo, Francesco; Wang, Wei; Huang, QiongXiang
1
2013
Spectral properties of the eccentricity matrix of graphs. Zbl 1439.05146
Wang, Jianfeng; Lu, Mei; Lu, Lu; Belardo, Francesco
1
2020
Graphs whose \(A_\alpha \) -spectral radius does not exceed 2. Zbl 1433.05213
Wang, Jian Feng; Wang, Jing; Liu, Xiaogang; Belardo, Francesco
1
2020
Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs. Zbl 1433.05185
Belardo, Francesco; Brunetti, Maurizio; Reff, Nathan
1
2020
On the multiplicity of \(\alpha\) as an \(A_\alpha(\varGamma)\)-eigenvalue of signed graphs with pendant vertices. Zbl 1418.05070
Belardo, Francesco; Brunetti, Maurizio; Ciampella, Adriana
6
2019
Unified extremal results of topological indices and spectral invariants of graphs. Zbl 1428.05158
Yao, Yuedan; Liu, Muhuo; Belardo, Francesco; Yang, Chao
4
2019
On the largest eigenvalue of signed unicyclic graphs. Zbl 1420.05070
Akbari, Saieed; Belardo, Francesco; Heydari, Farideh; Maghasedi, Mohammad; Souri, Mona
2
2019
Connected signed graphs \(L\)-cospectral to signed \(\infty\)-graphs. Zbl 1425.05067
Belardo, Francesco; Brunetti, Maurizio
1
2019
Spectral ordering of trees with small index. Zbl 1441.05133
Belardo, Francesco; Oliveira, Elismar R.; Trevisan, Vilmar
1
2019
Spectral characterizations of signed cycles. Zbl 1391.05126
Akbari, Saieed; Belardo, Francesco; Dodongeh, Ebrahim; Nematollahi, Mohammad Ali
6
2018
The anti-adjacency matrix of a graph: eccentricity matrix. Zbl 1401.05102
Wang, Jianfeng; Lu, Mei; Belardo, Francesco; Randić, Milan
5
2018
Open problems in the spectral theory of signed graphs. Zbl 1421.05052
Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng
2
2018
Signed bicyclic graphs minimizing the least Laplacian eigenvalue. Zbl 1396.05066
Belardo, Francesco; Brunetti, Maurizio; Ciampella, Adriana
2
2018
Wreath product of a complete graph with a cyclic graph: topological indices and spectrum. Zbl 1427.05187
Belardo, Francesco; Cavaleri, Matteo; Donno, Alfredo
1
2018
Signed graphs with extremal least Laplacian eigenvalue. Zbl 1331.05135
Belardo, Francesco; Zhou, Yue
5
2016
On signed graphs whose second largest Laplacian eigenvalue does not exceed 3. Zbl 1341.05148
Belardo, Francesco; Petecki, Paweł; Wang, Jianfeng
4
2016
Signed line graphs with least eigenvalue -2: the star complement technique. Zbl 1337.05051
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.
4
2016
On graphs whose least eigenvalue is greater than \(-2\). Zbl 1341.05149
Belardo, Francesco; Pisanski, Tomaž; Simić, Slobodan K.
1
2016
On the Laplacian coefficients of signed graphs. Zbl 1312.05078
Belardo, Francesco; Simić, Slobodan K.
27
2015
Spectral characterizations of signed lollipop graphs. Zbl 1315.05083
Belardo, Francesco; Petecki, Paweł
20
2015
A lower bound for the first Zagreb index and its application. Zbl 06749532
Wang, Jian-Feng; Belardo, Francesco
6
2015
Balancedness and the least eigenvalue of Laplacian of signed graphs. Zbl 1285.05112
Belardo, Francesco
16
2014
On the structure of bidegreed graphs with minimal spectral radius. Zbl 06704728
Belardo, Francesco
2
2014
Signless Laplacian spectral characterization of line graphs of \(T\)-shape trees. Zbl 1303.05120
Wang, Jianfeng; Belardo, Francesco; Zhang, Qianglong
2
2014
On the spectral characterizations of 3-rose graphs. Zbl 1294.05112
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco
5
2013
Signless Laplacian eigenvalues and circumference of graphs. Zbl 1287.05086
Wang, JianFeng; Belardo, Francesco
3
2013
On graphs whose Laplacian index does not exceed 4.5. Zbl 1259.05119
Wang, Jianfeng; Belardo, Francesco; Huang, QiongXiang; Marzi, Enzo M. Li
3
2013
On graphs with exactly three \(Q\)-eigenvalues at least two. Zbl 1259.05118
Wang, JianFeng; Belardo, Francesco; Wang, Wei; Huang, QiongXiang
1
2013
Spectral characterizations of graphs with small spectral radius. Zbl 1250.05072
Wang, JianFeng; Belardo, Francesco
3
2012
Computing the permanental polynomial of a matrix from a combinatorial viewpoint. Zbl 1289.05268
Belardo, Francesco; De Filippis, Vincenco; Simić, Slobodan K.
11
2011
A note on the signless Laplacian eigenvalues of graphs. Zbl 1225.05176
Wang, Jianfeng; Belardo, Francesco
7
2011
Laplacian spectral characterization of disjoint union of paths and cycles. Zbl 1223.05182
Wang, J. F.; Simić, S. K.; Huang, Q. X.; Belardo, F.; Marzi, E. M. Li
5
2011
Graphs whose signless Laplacian spectral radius does not exceed the Hoffman limit value. Zbl 1221.05229
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.; Wang, Jianfeng
2
2011
On the spectral characterizations of \(\infty \)-graphs. Zbl 1231.05174
Wang, Jianfeng; Huang, Qingxiang; Belardo, Francesco; Marzi, Enzo M. Li
27
2010
On the two largest \(Q\)-eigenvalues of graphs. Zbl 1208.05079
Wang, JianFeng; Belardo, Francesco; Huang, QiongXiang; Borovićanin, Bojana
20
2010
On the spectral radius of unicyclic graphs with prescribed degree sequence. Zbl 1218.05088
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.; Wang, Jianfeng
15
2010
Combinatorial approach for computing the characteristic polynomial of a matrix. Zbl 1211.05069
Belardo, Francesco; Marzi, Enzo M. Li; Simić, Slobodan K.
12
2010
Connected graphs of fixed order and size with maximal index: some spectral bounds. Zbl 1217.05157
Simić, Slobodan K.; Belardo, Francesco; Marzi, Enzo Maria Li; Tošić, Dejan V.
6
2010
Spectral characterizations of dumbbell graphs. Zbl 1215.05107
Wang, Jianfeng; Belardo, Francesco; Huang, Qiongxiang; Marzi, Enzo M. Li
6
2010
On the index of necklaces. Zbl 1231.05165
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.; Wang, Jianfeng
4
2010
Some results on the signless Laplacians of graphs. Zbl 1209.05148
Wang, Jianfeng; Huang, Qiongxiang; An, Xinhui; Belardo, Francesco
3
2010
Trees with minimal index and diameter at most four. Zbl 1222.05020
Belardo, Francesco; Marzi, Enzo M. Li; Simić, Slobodan K.
3
2010
On graphs whose signless Laplacian index does not exceed 4.5. Zbl 1171.05035
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco; Li Marzi, Enzo M.
21
2009
A note on the spectral characterization of dumbbell graphs. Zbl 1175.05089
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco; Li Marzi, Enzo M.
8
2009
On the spectral characterization of theta graphs. Zbl 1224.05327
Wang, Jianfeng; Huang, Qiongxiang; Belardo, Francesco; Li Marzi, Enzo M.
4
2009
Schwenk-like formulas for weighted digraphs. Zbl 1180.05050
Belardo, Francesco; Li Marzi, Enzo M.; Simić, Slobodan K.
2
2009
Bidegreed trees with small index. Zbl 1199.05209
Belardo, Francesco; Li Marzi, Enzo
2
2009
Some notes on graphs whose spectral radius is close to \(\frac{3}{2}\sqrt 2\). Zbl 1144.05323
Wang, Jianfeng; Huang, Qiongxiang; An, Xinhui; Belardo, Francesco
14
2008
On the index of caterpillars. Zbl 1130.05037
Simić, Slobodan K.; Li Marzi, Enzo Maria; Belardo, Francesco
14
2008
Ordering graphs with index in the interval \((2, \sqrt{2+\sqrt 5})\). Zbl 1152.05347
Belardo, Francesco; Marzi, Enzo M. Li; Simić, Slobodan K.
8
2008
Path-like graphs ordered by the index. Zbl 1127.05061
Belardo, F.; Li Marzi, E. M.; Simić, S. K.
5
2007
Some notes on graphs whose index is close to 2. Zbl 1114.05056
Belardo, Francesco; Marzi, Enzo Maria Li; Simić, Slobodan K.
4
2007
Some results on the index of unicyclic graphs. Zbl 1092.05043
Belardo, Francesco; Li Marzi, Enzo Maria; Simić, Slobodan K.
18
2006
Connected graphs of fixed order and size with maximal index: structural considerations. Zbl 1195.05045
Simić, S. K.; Li Marzi, E. M.; Belardo, F.
13
2004
all top 5

Cited by 292 Authors

38 Belardo, Francesco
25 Simić, Slobodan K.
25 Wang, Jianfeng
13 Huang, Qiongxiang
13 Li, Shuchao
12 Stanić, Zoran
9 Wu, Tingzeng
8 Liu, Muhuo
7 Akbari, Saieed
7 Brunetti, Maurizio
7 Marzi, Enzo M. Li
7 Trevisan, Vilmar
6 Bu, Changjiang
6 Cvetkovic, Dragos M.
6 Das, Kinkar Chandra
6 Zhang, Heping
6 Zhou, Jiang
5 Andelić, Milica
5 Heydari, Farideh
5 Hou, Yaoping
5 Lai, Hong-Jian
5 Li Marzi, Enzo Maria
5 Liu, Xiaogang
5 Maghasedi, Mohammad
5 Xue, Jie
4 Cioabă, Sebastian M.
4 Lin, Huiqiu
4 Liu, Jia-bao
4 Rowlinson, Peter
4 Stevanović, Dragan
4 Tan, Shangwang
4 Wang, Chunxiang
4 Wang, Dijian
4 Wang, Shaohui
3 Abreu, Nair Maria Maia de
3 Cavaleri, Matteo
3 Ciampella, Adriana
3 Dalvandi, Soudabeh
3 Donno, Alfredo
3 Fan, Yizheng
3 Geng, Xianya
3 Hansen, Pierre
3 Koledin, Tamara
3 Liu, Bolian
3 Liu, Fenjin
3 Lu, Linyuan
3 Lu, Lu
3 Lu, Mei
3 Shu, Jinlong
3 Tošić, Dejan V.
3 Tura, Fernando Colman
3 Xu, Guanghui
3 Zeydi Abdian, Ali
3 Zhou, Bo
2 An, Xinhui
2 Aouchiche, Mustapha
2 Atay, Fatihcan M.
2 Bell, Francis K.
2 Bíyíkoğlu, Türker
2 Borovićanin, Bojana
2 Chen, Lin
2 Chen, Zhibing
2 da Fonseca, Carlos Martins
2 de Lima, Leonardo S.
2 Du, Zhibin
2 Estrada, Ernesto
2 Feng, Lihua
2 Gong, Shicai
2 Guo, Guangquan
2 Guo, Shuguang
2 Haemers, Willem H.
2 He, Changxiang
2 Huang, Xueyi
2 Ilić, Aleksandar
2 Jacobs, David P.
2 Justel, Claudia Marcela
2 Koolen, Jack H.
2 Lan, Jingfen
2 Lei, Xingyu
2 Leydold, Josef
2 Li, Guozheng
2 Lin, Hongying
2 Lin, Zhen
2 Liu, Huiqing
2 Liu, Ruifang
2 Liu, Shunyi
2 Liu, Yingluan
2 Miao, Lianying
2 Monfared, Keivan Hassani
2 Nematollahi, Mohammad Ali
2 Oliveira, Elismar R.
2 Petecki, Paweł
2 Randić, Milan
2 Reff, Nathan
2 Robinson, Ellen
2 Rojo, Oscar L.
2 Rusnak, Lucas J.
2 Shi, Lingsheng
2 Silva Oliveira, Carla
2 Souri, Mona
...and 192 more Authors
all top 5

Cited in 40 Serials

86 Linear Algebra and its Applications
26 Discrete Applied Mathematics
21 Linear and Multilinear Algebra
18 Discrete Mathematics
12 Applied Mathematics and Computation
8 Discussiones Mathematicae. Graph Theory
7 Graphs and Combinatorics
4 ELA. The Electronic Journal of Linear Algebra
4 Discrete Mathematics, Algorithms and Applications
3 Computers & Mathematics with Applications
3 Journal of Algebraic Combinatorics
3 Journal of Inequalities and Applications
2 Indian Journal of Pure & Applied Mathematics
2 Czechoslovak Mathematical Journal
2 Acta Mathematicae Applicatae Sinica. English Series
2 Applied Mathematics Letters
2 European Journal of Operational Research
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Combinatorial Theory. Series B
1 Theoretical Computer Science
1 European Journal of Combinatorics
1 Bulletin of the Iranian Mathematical Society
1 International Journal of Computer Mathematics
1 Expositiones Mathematicae
1 The Australasian Journal of Combinatorics
1 Complexity
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 Honam Mathematical Journal
1 Journal of Combinatorial Optimization
1 Acta Mathematica Sinica. English Series
1 Proyecciones
1 Journal of Mathematical Inequalities
1 Ars Mathematica Contemporanea
1 Transactions on Combinatorics
1 Carpathian Mathematical Publications
1 Mathematics
1 Special Matrices
1 Journal of Algebra and Related Topics
1 The Art of Discrete and Applied Mathematics

Citations by Year