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Author ID: trevisan.vilmar Recent zbMATH articles by "Trevisan, Vilmar"
Published as: Trevisan, Vilmar; Trevisan, V.
External Links: ORCID
all top 5

Co-Authors

1 single-authored
28 Jacobs, David P.
13 Hoppen, Carlos
10 Allem, Luiz Emilio
6 del Vecchio, Renata Raposo
6 Oliveira, Elismar R.
6 Rocha, Israel
5 Cardoso, Kauê
5 Fritscher, Eliseu
5 Rayes, Mohamed Omar
5 Tura, Fernando Colman
4 Braga, Rodrigo O.
4 Hedetniemi, Stephen Travis
4 Helmberg, Christoph
4 Machado, Catia M. S.
4 Rodrigues, Virgínia Maria
3 Belardo, Francesco
3 Cafure, Antonio
3 Cardoso, Domingos Moreira
3 Carvalho, João B.
3 de Abreu, Nair Maria Maia
3 Fürer, Martin
3 Grippo, Luciano Norberto
3 Jaume, Daniel A.
3 Pinheiro, Lucélia Kowalski
3 Safe, Martín Darío
3 Wang, Paul S.
2 Akbari, Saieed
2 Bravo, Diego
2 Brunetti, Maurizio
2 Camargo Brunetto, Maria A. O.
2 Claudio, Dalcidio M.
2 Cubría, Florencia
2 Das, Kinkar Chandra
2 Dratman, Ezequiel
2 Fiori, Marcelo
2 Ganie, Hilal Ahmad
2 Goddard, Wayne Dean
2 Gutman, Ivan M.
2 Molina, Gonzalo
2 Pirzada, Shariefuddin
2 Porto, Guilherme
2 Robbiano, María
2 Rojo, Oscar L.
2 Souza, Bruna S.
2 Toledo, Maikon Machado
2 Torres, Guilherme Simon
2 Vinagre, Cybele T. M.
2 Weber, Kenneth
1 Ahanjideh, Milad
1 Andrade Martins, Enide
1 Beauzamy, Bernard
1 Bolckau, Johann
1 Brouwer, Andries Evert
1 Capaverde, Juliane G.
1 Chimelli, Rodrigo
1 da Silveira, Lucas G. M.
1 Darougheh, M.
1 de Lima, Leonardo S.
1 Fakharan, M. H.
1 Fricke, Gerd H.
1 Gao, Shuhong
1 Glogić, Edin
1 Grijó, Rodrigo
1 Hintenaus, Peter
1 Jones, Átila Arueira
1 Júdice, Joaquim João
1 Justel, Claudia Marcela
1 Justo, Dagoberto A. R.
1 Kirkland, Stephen J.
1 Kutyniok, Gitta
1 Martins, Luiz Felipe
1 Mayerle, Sergio Fernando
1 Mojallal, Seyed Ahmad
1 Monsalve, Juan Daniel
1 Oliveira, Carla S.
1 Pastine, Adrián
1 Pereira, Elaine C.
1 Pokrass Jacobs, David
1 Portugal, Lucas L. S.
1 Rather, Bilal Ahmad
1 Schvöllner, Victor Nicolas
1 Sibemberg, Lucas S.
1 Sossa, David
1 Stevanović, Dragan
1 Wang, Jianfeng
1 Zogić, Emir
all top 5

Serials

27 Linear Algebra and its Applications
7 Discrete Applied Mathematics
6 Discrete Mathematics
4 Computers & Mathematics with Applications
3 Linear and Multilinear Algebra
3 ELA. The Electronic Journal of Linear Algebra
3 Matemática Contemporânea
3 MATCH - Communications in Mathematical and in Computer Chemistry
2 Applied Mathematics and Computation
2 Czechoslovak Mathematical Journal
2 Theoretical Computer Science
2 Journal of Symbolic Computation
2 Journal of Algebraic Combinatorics
2 Congressus Numerantium
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Canadian Mathematical Bulletin
1 Journal of Combinatorial Theory. Series B
1 Journal of Algorithms
1 European Journal of Combinatorics
1 Graphs and Combinatorics
1 Computers & Operations Research
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 Applied Mathematics Letters
1 SIAM Journal on Matrix Analysis and Applications
1 The Journal of Supercomputing
1 Computational and Applied Mathematics
1 Bulletin of the Institute of Combinatorics and its Applications
1 The Electronic Journal of Combinatorics
1 Discussiones Mathematicae. Graph Theory
1 Journal of Difference Equations and Applications
1 Journal of Graph Algorithms and Applications
1 JP Journal of Algebra, Number Theory and Applications
1 International Journal of Pure and Applied Mathematics
1 Algebra and Discrete Mathematics
1 Mediterranean Journal of Mathematics
1 Applicable Analysis and Discrete Mathematics
1 Special Matrices
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 596 times in 310 Documents Cited by Year
On the sum of the Laplacian eigenvalues of a tree. Zbl 1226.05154
Fritscher, Eliseu; Hoppen, Carlos; Rocha, Israel; Trevisan, Vilmar
46
2011
Eigenvalues and energy in threshold graphs. Zbl 1302.05103
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando
34
2015
Locating the eigenvalues of trees. Zbl 1231.05167
Jacobs, David P.; Trevisan, Vilmar
31
2011
Eigenvalue location in threshold graphs. Zbl 1282.05121
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando
28
2013
Complementary eigenvalues of graphs. Zbl 1365.05171
Fernandes, Rafael; Judice, Joaquim; Trevisan, Vilmar
23
2017
Exploring symmetries to decompose matrices and graphs preserving the spectrum. Zbl 1376.05083
Fritscher, Eliseu; Trevisan, Vilmar
22
2016
Laplacian energy of diameter 3 trees. Zbl 1216.05010
Trevisan, Vilmar; Carvalho, João B.; Del Vecchio, Renata R.; Vinagre, Cybele T. M.
19
2011
Factorization properties of Chebyshev polynomials. Zbl 1084.33006
Rayes, M. O.; Trevisan, V.; Wang, P. S.
17
2005
Bounding the sum of the largest Laplacian eigenvalues of graphs. Zbl 1288.05167
Rocha, I.; Trevisan, V.
17
2014
Further developments on Brouwer’s conjecture for the sum of Laplacian eigenvalues of graphs. Zbl 1437.05139
Ganie, Hilal A.; Pirzada, S.; Rather, Bilal A.; Trevisan, Vilmar
16
2020
Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
15
2008
Domination number and Laplacian eigenvalue distribution. Zbl 1328.05141
Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
15
2016
On the distribution of Laplacian eigenvalues of trees. Zbl 1279.05045
Braga, Rodrigo O.; Rodrigues, Virgínia M.; Trevisan, Vilmar
15
2013
Reducing the adjacency matrix of a tree. Zbl 0886.05048
Fricke, Gerd H.; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
14
1996
Computing the characteristic polynomial of threshold graphs. Zbl 1305.05105
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando
13
2014
Maximum Laplacian energy among threshold graphs. Zbl 1282.05155
Vinagre, Cybele T. M.; Del-Vecchio, Renata R.; Justo, Dagoberto A. R.; Trevisan, Vilmar
13
2013
Some spectral properties of cographs. Zbl 1329.05196
Mohammadian, A.; Trevisan, V.
12
2016
Characterizing trees with large Laplacian energy. Zbl 1282.05029
Fritscher, Eliseu; Hoppen, Carlos; Rocha, Israel; Trevisan, Vilmar
12
2014
Eigenvalue location in cographs. Zbl 1387.05152
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando Colman
11
2018
Spectral radius ordering of starlike trees. Zbl 1455.05047
Oliveira, Elismar R.; Stevanović, Dragan; Trevisan, Vilmar
11
2020
Threshold graphs of maximal Laplacian energy. Zbl 1309.05119
Helmberg, Christoph; Trevisan, Vilmar
10
2015
Spectral threshold dominance, Brouwer’s conjecture and maximality of Laplacian energy. Zbl 1348.05124
Helmberg, Christoph; Trevisan, Vilmar
9
2017
Maximum Laplacian energy of unicyclic graphs. Zbl 1352.05110
Das, Kinkar Ch.; Fritscher, Eliseu; Pinheiro, Lucélia Kowalski; Trevisan, Vilmar
8
2017
Determining graphs by the complementary spectrum. Zbl 1433.05205
Pinheiro, Lucélia K.; Souza, Bruna S.; Trevisan, Vilmar
8
2020
Constructing the characteristic polynomial of tree’s adjacency matrix. Zbl 0953.05046
Jacobs, David P.; Trevisan, Vilmar
7
1998
Distribution of Laplacian eigenvalues of graphs. Zbl 1344.05087
Das, Kinkar Ch.; Mojallal, Seyed Ahmad; Trevisan, Vilmar
7
2016
The determinant of a tree’s neighborhood matrix. Zbl 0916.05051
Jacobs, David P.; Trevisan, Vilmar
6
1997
Laplacian distribution and domination. Zbl 1377.05106
Cardoso, Domingos M.; Jacobs, David P.; Trevisan, Vilmar
6
2017
Trees with 4 or 5 distinct normalized Laplacian eigenvalues. Zbl 1307.05137
Braga, Rodrigo O.; Del-Vecchio, Renata R.; Rodrigues, Virgínia M.; Trevisan, Vilmar
6
2015
Laplacian eigenvalue distribution and graph parameters. Zbl 1479.05187
Ahanjideh, M.; Akbari, S.; Fakharan, M. H.; Trevisan, V.
6
2022
On the sum of \(k\) largest Laplacian eigenvalues of a graph and clique number. Zbl 1456.05104
Ganie, Hilal A.; Pirzada, S.; Trevisan, Vilmar
6
2021
Most Laplacian eigenvalues of a tree are small. Zbl 1460.05114
Jacobs, David P.; Oliveira, Elismar R.; Trevisan, Vilmar
6
2021
Spectral ordering of trees with small index. Zbl 1441.05133
Belardo, Francesco; Oliveira, Elismar R.; Trevisan, Vilmar
6
2019
The spectrum of a class of uniform hypergraphs. Zbl 1437.05169
Cardoso, Kauê; Hoppen, Carlos; Trevisan, Vilmar
6
2020
An \(O(n^2)\) algorithm for the characteristic polynomial of a tree. Zbl 1080.05089
Jacobs, David P.; Machado, Catia M. S.; Trevisan, Vilmar
5
2005
Polynomial factorization: Sharp bounds, efficient algorithms. Zbl 0801.12007
Beauzamy, Bernard; Trevisan, Vilmar; Wang, Paul S.
5
1993
Ordering trees and graphs with few cycles by algebraic connectivity. Zbl 1295.05138
Abreu, Nair; Justel, Claudia Marcela; Rojo, Oscar; Trevisan, Vilmar
5
2014
Exponentially many graphs have a \(Q\)-cospectral mate. Zbl 1365.05138
Carvalho, João; Souza, Bruna S.; Trevisan, Vilmar; Tura, Fernando C.
5
2017
Computing the Laplacian spectra of some graphs. Zbl 1254.05098
Cardoso, Domingos M.; Martins, Enide Andrade; Robbiano, María; Trevisan, Vilmar
5
2012
Algebraic connectivity of \(k\)-connected graphs. Zbl 1363.05141
Kirkland, Steve; Rocha, Israel; Trevisan, Vilmar
4
2015
Normalized Laplacian energy change and edge deletion. Zbl 1461.05118
Allem, Luiz Emilio; Jacobs, David P.; Trevisan, Vilmar
4
2016
On Quipus whose signless Laplacian index does not exceed 4.5. Zbl 1489.05090
Belardo, Francesco; Brunetti, Maurizio; Trevisan, Vilmar; Wang, Jianfeng
4
2022
Some results for the (signless) Laplacian resolvent. Zbl 1466.92246
Cafure, Antonio; Jaume, Daniel A.; Grippo, Luciano N.; Pastine, Adrián; Safe, Martín D.; Trevisan, Vilmar; Gutman, Ivan
4
2017
Unicyclic graphs with equal Laplacian energy. Zbl 1286.05086
Fritscher, Eliseu; Hoppen, Carlos; Trevisan, Vilmar
4
2014
Nordhaus-Gaddum type inequalities for the two largest Laplacian eigenvalues. Zbl 1419.05124
Grijó, Rodrigo; de Lima, Leonardo; Oliveira, Carla; Porto, Guilherme; Trevisan, Vilmar
4
2019
Integral trees homeomorphic to a double star. Zbl 1220.05017
Brouwer, Andries E.; Del-Vecchio, Renata R.; Jacobs, David P.; Trevisan, Vilmar; Vinagre, Cybele T. M.
3
2011
The resultant of Chebyshev polynomials. Zbl 1272.12006
Jacobs, David P.; Rayes, Mohamed O.; Trevisan, Vilmar
3
2011
Distance-\(k\) information in self-stabilizing algorithms. Zbl 1222.68411
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
3
2006
Maximality of the signless Laplacian energy. Zbl 1372.05130
Pinheiro, Lucélia Kowalski; Trevisan, Vilmar
3
2018
Locating eigenvalues of unbalanced unicyclic signed graphs. Zbl 1508.05102
Belardo, Francesco; Brunetti, Maurizio; Trevisan, Vilmar
3
2021
Spectral norm of oriented graphs. Zbl 1411.05163
Hoppen, Carlos; Monsalve, Juan; Trevisan, Vilmar
3
2019
The signless Laplacian matrix of hypergraphs. Zbl 1489.05108
Cardoso, Kauê; Trevisan, Vilmar
3
2022
Energies of hypergraphs. Zbl 1444.05088
Cardoso, Kauê; Trevisan, Vilmar
3
2020
Locating eigenvalues in graphs. Algorithms and applications. Zbl 1511.05001
Hoppen, Carlos; Jacobs, David P.; Trevisan, Vilmar
3
2022
Locating eigenvalues of unicyclic graphs. Zbl 1499.05352
Braga, Rodrigo O.; Rodrigues, Virginia M.; Trevisan, Vilmar
3
2017
Resolvent energy of unicyclic, bicyclic and tricyclic graphs. Zbl 1466.92241
Allem, Luiz Emilio; Capaverde, Juliane; Trevisan, Vilmar; Gutman, Ivan; Zogić, Emir; Glogić, Edin
3
2017
A note on Gao’s algorithm for polynomial factorization. Zbl 1221.12014
Hoppen, Carlos; Rodrigues, Virginia M.; Trevisan, Vilmar
2
2011
An algebraic algorithm to isolate complex polynomial zeros using Sturm sequences. Zbl 0953.65034
Camargo Brunetto, M. A. O.; Claudio, D. M.; Trevisan, V.
2
2000
Applications of rational difference equations to spectral graph theory. Zbl 1477.05109
Oliveira, Elismar R.; Trevisan, Vilmar
2
2021
Diagonalization of generalized lollipop graphs. Zbl 1347.05114
Del-Vecchio, Renata R.; Jacobs, David P.; Trevisan, Vilmar; Vinagre, Cybele T. M.
2
2015
Applications of recurrence relations for the characteristic polynomials of Bethe trees. Zbl 1193.05090
Robbiano, María; Trevisan, Vilmar
2
2010
Independence and matching numbers of unicyclic graphs from null space. Zbl 1449.05165
Allem, L. Emilio; Jaume, Daniel A.; Molina, Gonzalo; Toledo, Maikon M.; Trevisan, Vilmar
2
2020
Extracting sparse factors from multivariate integral polynomials. Zbl 1278.12008
Allem, Luiz Emilio; Gao, Shuhong; Trevisan, Vilmar
2
2013
Characterizing threshold graphs with \(k\) main signless Laplacian eigenvalues. Zbl 1441.05147
Vinagre, Cybele T. M.; Trevisan, Vilmar; Bolckau, Johann; Chimelli, Rodrigo
2
2020
Eigenvalue location in graphs of small clique-width. Zbl 1402.05136
Fürer, Martin; Hoppen, Carlos; Jacobs, David P.; Trevisan, Vilmar
2
2019
The composite character of the twenty-second Fermat number. Zbl 0829.11067
Trevisan, Vilmar; Carvalho, João B.
1
1995
On graphs with a single large Laplacian eigenvalue. Zbl 1383.05191
Allem, L. Emilio; Cafure, Antonio; Dratman, Ezequiel; Grippo, Luciano N.; Safe, Martín D.; Trevisan, Vilmar
1
2017
Rational representation of modular numbers. Zbl 0985.11003
Hintenaus, Peter; Trevisan, Vilmar
1
1999
An \(O(n^2)\) algorithm for the characteristic polynomial of a tree. Zbl 0982.68099
Jacobs, David P.; Machado, Catia M. S.; Trevisan, Vilmar
1
2001
Practical factorization of univariate polynomials over finite fields. Zbl 1019.11506
Trevisan, Vilmar; Wang, Paul
1
1991
Testing the converse of Wolstenholme’s theorem. Zbl 1019.11038
Trevisan, Vilmar; Weber, Kenneth
1
2001
Computing the inverse of a tree’s incidence matrix. Zbl 1182.05020
Jacobs, David P.; Machado, Catia M. S.; Pereira, Elaine C.; Trevisan, Vilmar
1
2008
A Fiedler-like theory for the perturbed Laplacian. Zbl 1413.05245
Rocha, Israel; Trevisan, Vilmar
1
2016
Null decomposition of unicyclic graphs. Zbl 1447.05165
Allem, L. Emilio; Jaume, Daniel A.; Molina, Gonzalo; Toledo, Maikon M.; Trevisan, Vilmar
1
2020
Algebraic connectivity on a subclass of caterpillars. Zbl 1268.05126
Rojo, Oscar; Rocha, Israel; Trevisan, Vilmar
1
2011
Principal eigenvectors of general hypergraphs. Zbl 1472.05094
Cardoso, Kauê; Trevisan, Vilmar
1
2021
Characterization of digraphs with three complementarity eigenvalues. Zbl 1516.05076
Bravo, Diego; Cubría, Florencia; Fiori, Marcelo; Trevisan, Vilmar
1
2023
Complementarity spectrum of digraphs. Zbl 1468.05145
Bravo, Diego; Cubría, Florencia; Fiori, Marcelo; Trevisan, Vilmar
1
2021
A conjecture on Laplacian eigenvalues of trees. Zbl 1414.05179
Jacobs, David P.; Trevisan, Vilmar
1
2018
Locating the eigenvalues for graphs of small clique-width. Zbl 1485.05100
Fürer, Martin; Hoppen, Carlos; Jacobs, David P.; Trevisan, Vilmar
1
2018
Characterization of digraphs with three complementarity eigenvalues. Zbl 1516.05076
Bravo, Diego; Cubría, Florencia; Fiori, Marcelo; Trevisan, Vilmar
1
2023
Laplacian eigenvalue distribution and graph parameters. Zbl 1479.05187
Ahanjideh, M.; Akbari, S.; Fakharan, M. H.; Trevisan, V.
6
2022
On Quipus whose signless Laplacian index does not exceed 4.5. Zbl 1489.05090
Belardo, Francesco; Brunetti, Maurizio; Trevisan, Vilmar; Wang, Jianfeng
4
2022
The signless Laplacian matrix of hypergraphs. Zbl 1489.05108
Cardoso, Kauê; Trevisan, Vilmar
3
2022
Locating eigenvalues in graphs. Algorithms and applications. Zbl 1511.05001
Hoppen, Carlos; Jacobs, David P.; Trevisan, Vilmar
3
2022
On the sum of \(k\) largest Laplacian eigenvalues of a graph and clique number. Zbl 1456.05104
Ganie, Hilal A.; Pirzada, S.; Trevisan, Vilmar
6
2021
Most Laplacian eigenvalues of a tree are small. Zbl 1460.05114
Jacobs, David P.; Oliveira, Elismar R.; Trevisan, Vilmar
6
2021
Locating eigenvalues of unbalanced unicyclic signed graphs. Zbl 1508.05102
Belardo, Francesco; Brunetti, Maurizio; Trevisan, Vilmar
3
2021
Applications of rational difference equations to spectral graph theory. Zbl 1477.05109
Oliveira, Elismar R.; Trevisan, Vilmar
2
2021
Principal eigenvectors of general hypergraphs. Zbl 1472.05094
Cardoso, Kauê; Trevisan, Vilmar
1
2021
Complementarity spectrum of digraphs. Zbl 1468.05145
Bravo, Diego; Cubría, Florencia; Fiori, Marcelo; Trevisan, Vilmar
1
2021
Further developments on Brouwer’s conjecture for the sum of Laplacian eigenvalues of graphs. Zbl 1437.05139
Ganie, Hilal A.; Pirzada, S.; Rather, Bilal A.; Trevisan, Vilmar
16
2020
Spectral radius ordering of starlike trees. Zbl 1455.05047
Oliveira, Elismar R.; Stevanović, Dragan; Trevisan, Vilmar
11
2020
Determining graphs by the complementary spectrum. Zbl 1433.05205
Pinheiro, Lucélia K.; Souza, Bruna S.; Trevisan, Vilmar
8
2020
The spectrum of a class of uniform hypergraphs. Zbl 1437.05169
Cardoso, Kauê; Hoppen, Carlos; Trevisan, Vilmar
6
2020
Energies of hypergraphs. Zbl 1444.05088
Cardoso, Kauê; Trevisan, Vilmar
3
2020
Independence and matching numbers of unicyclic graphs from null space. Zbl 1449.05165
Allem, L. Emilio; Jaume, Daniel A.; Molina, Gonzalo; Toledo, Maikon M.; Trevisan, Vilmar
2
2020
Characterizing threshold graphs with \(k\) main signless Laplacian eigenvalues. Zbl 1441.05147
Vinagre, Cybele T. M.; Trevisan, Vilmar; Bolckau, Johann; Chimelli, Rodrigo
2
2020
Null decomposition of unicyclic graphs. Zbl 1447.05165
Allem, L. Emilio; Jaume, Daniel A.; Molina, Gonzalo; Toledo, Maikon M.; Trevisan, Vilmar
1
2020
Spectral ordering of trees with small index. Zbl 1441.05133
Belardo, Francesco; Oliveira, Elismar R.; Trevisan, Vilmar
6
2019
Nordhaus-Gaddum type inequalities for the two largest Laplacian eigenvalues. Zbl 1419.05124
Grijó, Rodrigo; de Lima, Leonardo; Oliveira, Carla; Porto, Guilherme; Trevisan, Vilmar
4
2019
Spectral norm of oriented graphs. Zbl 1411.05163
Hoppen, Carlos; Monsalve, Juan; Trevisan, Vilmar
3
2019
Eigenvalue location in graphs of small clique-width. Zbl 1402.05136
Fürer, Martin; Hoppen, Carlos; Jacobs, David P.; Trevisan, Vilmar
2
2019
Eigenvalue location in cographs. Zbl 1387.05152
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando Colman
11
2018
Maximality of the signless Laplacian energy. Zbl 1372.05130
Pinheiro, Lucélia Kowalski; Trevisan, Vilmar
3
2018
A conjecture on Laplacian eigenvalues of trees. Zbl 1414.05179
Jacobs, David P.; Trevisan, Vilmar
1
2018
Locating the eigenvalues for graphs of small clique-width. Zbl 1485.05100
Fürer, Martin; Hoppen, Carlos; Jacobs, David P.; Trevisan, Vilmar
1
2018
Complementary eigenvalues of graphs. Zbl 1365.05171
Fernandes, Rafael; Judice, Joaquim; Trevisan, Vilmar
23
2017
Spectral threshold dominance, Brouwer’s conjecture and maximality of Laplacian energy. Zbl 1348.05124
Helmberg, Christoph; Trevisan, Vilmar
9
2017
Maximum Laplacian energy of unicyclic graphs. Zbl 1352.05110
Das, Kinkar Ch.; Fritscher, Eliseu; Pinheiro, Lucélia Kowalski; Trevisan, Vilmar
8
2017
Laplacian distribution and domination. Zbl 1377.05106
Cardoso, Domingos M.; Jacobs, David P.; Trevisan, Vilmar
6
2017
Exponentially many graphs have a \(Q\)-cospectral mate. Zbl 1365.05138
Carvalho, João; Souza, Bruna S.; Trevisan, Vilmar; Tura, Fernando C.
5
2017
Some results for the (signless) Laplacian resolvent. Zbl 1466.92246
Cafure, Antonio; Jaume, Daniel A.; Grippo, Luciano N.; Pastine, Adrián; Safe, Martín D.; Trevisan, Vilmar; Gutman, Ivan
4
2017
Locating eigenvalues of unicyclic graphs. Zbl 1499.05352
Braga, Rodrigo O.; Rodrigues, Virginia M.; Trevisan, Vilmar
3
2017
Resolvent energy of unicyclic, bicyclic and tricyclic graphs. Zbl 1466.92241
Allem, Luiz Emilio; Capaverde, Juliane; Trevisan, Vilmar; Gutman, Ivan; Zogić, Emir; Glogić, Edin
3
2017
On graphs with a single large Laplacian eigenvalue. Zbl 1383.05191
Allem, L. Emilio; Cafure, Antonio; Dratman, Ezequiel; Grippo, Luciano N.; Safe, Martín D.; Trevisan, Vilmar
1
2017
Exploring symmetries to decompose matrices and graphs preserving the spectrum. Zbl 1376.05083
Fritscher, Eliseu; Trevisan, Vilmar
22
2016
Domination number and Laplacian eigenvalue distribution. Zbl 1328.05141
Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
15
2016
Some spectral properties of cographs. Zbl 1329.05196
Mohammadian, A.; Trevisan, V.
12
2016
Distribution of Laplacian eigenvalues of graphs. Zbl 1344.05087
Das, Kinkar Ch.; Mojallal, Seyed Ahmad; Trevisan, Vilmar
7
2016
Normalized Laplacian energy change and edge deletion. Zbl 1461.05118
Allem, Luiz Emilio; Jacobs, David P.; Trevisan, Vilmar
4
2016
A Fiedler-like theory for the perturbed Laplacian. Zbl 1413.05245
Rocha, Israel; Trevisan, Vilmar
1
2016
Eigenvalues and energy in threshold graphs. Zbl 1302.05103
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando
34
2015
Threshold graphs of maximal Laplacian energy. Zbl 1309.05119
Helmberg, Christoph; Trevisan, Vilmar
10
2015
Trees with 4 or 5 distinct normalized Laplacian eigenvalues. Zbl 1307.05137
Braga, Rodrigo O.; Del-Vecchio, Renata R.; Rodrigues, Virgínia M.; Trevisan, Vilmar
6
2015
Algebraic connectivity of \(k\)-connected graphs. Zbl 1363.05141
Kirkland, Steve; Rocha, Israel; Trevisan, Vilmar
4
2015
Diagonalization of generalized lollipop graphs. Zbl 1347.05114
Del-Vecchio, Renata R.; Jacobs, David P.; Trevisan, Vilmar; Vinagre, Cybele T. M.
2
2015
Bounding the sum of the largest Laplacian eigenvalues of graphs. Zbl 1288.05167
Rocha, I.; Trevisan, V.
17
2014
Computing the characteristic polynomial of threshold graphs. Zbl 1305.05105
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando
13
2014
Characterizing trees with large Laplacian energy. Zbl 1282.05029
Fritscher, Eliseu; Hoppen, Carlos; Rocha, Israel; Trevisan, Vilmar
12
2014
Ordering trees and graphs with few cycles by algebraic connectivity. Zbl 1295.05138
Abreu, Nair; Justel, Claudia Marcela; Rojo, Oscar; Trevisan, Vilmar
5
2014
Unicyclic graphs with equal Laplacian energy. Zbl 1286.05086
Fritscher, Eliseu; Hoppen, Carlos; Trevisan, Vilmar
4
2014
Eigenvalue location in threshold graphs. Zbl 1282.05121
Jacobs, David P.; Trevisan, Vilmar; Tura, Fernando
28
2013
On the distribution of Laplacian eigenvalues of trees. Zbl 1279.05045
Braga, Rodrigo O.; Rodrigues, Virgínia M.; Trevisan, Vilmar
15
2013
Maximum Laplacian energy among threshold graphs. Zbl 1282.05155
Vinagre, Cybele T. M.; Del-Vecchio, Renata R.; Justo, Dagoberto A. R.; Trevisan, Vilmar
13
2013
Extracting sparse factors from multivariate integral polynomials. Zbl 1278.12008
Allem, Luiz Emilio; Gao, Shuhong; Trevisan, Vilmar
2
2013
Computing the Laplacian spectra of some graphs. Zbl 1254.05098
Cardoso, Domingos M.; Martins, Enide Andrade; Robbiano, María; Trevisan, Vilmar
5
2012
On the sum of the Laplacian eigenvalues of a tree. Zbl 1226.05154
Fritscher, Eliseu; Hoppen, Carlos; Rocha, Israel; Trevisan, Vilmar
46
2011
Locating the eigenvalues of trees. Zbl 1231.05167
Jacobs, David P.; Trevisan, Vilmar
31
2011
Laplacian energy of diameter 3 trees. Zbl 1216.05010
Trevisan, Vilmar; Carvalho, João B.; Del Vecchio, Renata R.; Vinagre, Cybele T. M.
19
2011
Integral trees homeomorphic to a double star. Zbl 1220.05017
Brouwer, Andries E.; Del-Vecchio, Renata R.; Jacobs, David P.; Trevisan, Vilmar; Vinagre, Cybele T. M.
3
2011
The resultant of Chebyshev polynomials. Zbl 1272.12006
Jacobs, David P.; Rayes, Mohamed O.; Trevisan, Vilmar
3
2011
A note on Gao’s algorithm for polynomial factorization. Zbl 1221.12014
Hoppen, Carlos; Rodrigues, Virginia M.; Trevisan, Vilmar
2
2011
Algebraic connectivity on a subclass of caterpillars. Zbl 1268.05126
Rojo, Oscar; Rocha, Israel; Trevisan, Vilmar
1
2011
Applications of recurrence relations for the characteristic polynomials of Bethe trees. Zbl 1193.05090
Robbiano, María; Trevisan, Vilmar
2
2010
Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
15
2008
Computing the inverse of a tree’s incidence matrix. Zbl 1182.05020
Jacobs, David P.; Machado, Catia M. S.; Pereira, Elaine C.; Trevisan, Vilmar
1
2008
Distance-\(k\) information in self-stabilizing algorithms. Zbl 1222.68411
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
3
2006
Factorization properties of Chebyshev polynomials. Zbl 1084.33006
Rayes, M. O.; Trevisan, V.; Wang, P. S.
17
2005
An \(O(n^2)\) algorithm for the characteristic polynomial of a tree. Zbl 1080.05089
Jacobs, David P.; Machado, Catia M. S.; Trevisan, Vilmar
5
2005
An \(O(n^2)\) algorithm for the characteristic polynomial of a tree. Zbl 0982.68099
Jacobs, David P.; Machado, Catia M. S.; Trevisan, Vilmar
1
2001
Testing the converse of Wolstenholme’s theorem. Zbl 1019.11038
Trevisan, Vilmar; Weber, Kenneth
1
2001
An algebraic algorithm to isolate complex polynomial zeros using Sturm sequences. Zbl 0953.65034
Camargo Brunetto, M. A. O.; Claudio, D. M.; Trevisan, V.
2
2000
Rational representation of modular numbers. Zbl 0985.11003
Hintenaus, Peter; Trevisan, Vilmar
1
1999
Constructing the characteristic polynomial of tree’s adjacency matrix. Zbl 0953.05046
Jacobs, David P.; Trevisan, Vilmar
7
1998
The determinant of a tree’s neighborhood matrix. Zbl 0916.05051
Jacobs, David P.; Trevisan, Vilmar
6
1997
Reducing the adjacency matrix of a tree. Zbl 0886.05048
Fricke, Gerd H.; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
14
1996
The composite character of the twenty-second Fermat number. Zbl 0829.11067
Trevisan, Vilmar; Carvalho, João B.
1
1995
Polynomial factorization: Sharp bounds, efficient algorithms. Zbl 0801.12007
Beauzamy, Bernard; Trevisan, Vilmar; Wang, Paul S.
5
1993
Practical factorization of univariate polynomials over finite fields. Zbl 1019.11506
Trevisan, Vilmar; Wang, Paul
1
1991
all top 5

Cited by 383 Authors

56 Trevisan, Vilmar
22 Pirzada, Shariefuddin
18 Ganie, Hilal Ahmad
15 Jacobs, David P.
14 Seeger, Alberto
12 Tura, Fernando Colman
11 Das, Kinkar Chandra
9 Allem, Luiz Emilio
9 Andelić, Milica
9 Rather, Bilal Ahmad
8 Hoppen, Carlos
8 Mojallal, Seyed Ahmad
8 Sossa, David
7 del Vecchio, Renata Raposo
6 Braga, Rodrigo O.
6 Gutman, Ivan M.
6 Hedetniemi, Stephen Travis
6 Oliveira, Elismar R.
6 Rada, Juan
5 Cardoso, Kauê
5 da Fonseca, Carlos Martins
5 Du, Zhibin
5 Fritscher, Eliseu
5 Ghorbani, Ebrahim
5 Lin, Huiqiu
5 Rodrigues, Virgínia Maria
5 Simić, Slobodan K.
5 Ul Shaban, Rezwan
5 Wang, Ligong
4 Andrade, Enide
4 Belardo, Francesco
4 Brunetti, Maurizio
4 Fernández-Zepeda, José Alberto
4 Fürer, Martin
4 Guo, Shuguang
4 Júdice, Joaquim João
4 Li, Jianxi
4 Li, Xueliang
4 Robbiano, María
4 Rocha, Israel
4 Sander, Torsten
4 Trejo-Sánchez, Joel Antonio
4 Yang, Xiuwen
4 Yu, Guanglong
3 Akbari, Saieed
3 Alazemi, Abdullah
3 Baghipur, Maryam
3 Bravo, Diego
3 Cafure, Antonio
3 Cardoso, Domingos Moreira
3 Chen, Xiaodan
3 Cubría, Florencia
3 Fukushima, Masao
3 Guo, Jiming
3 Kennedy, K. E.
3 Lazzarin, João
3 Lin, Zhen
3 Lou, Zhenzhen
3 Miao, Lianying
3 Monsalve, Juan Daniel
3 Oboudi, Mohammad Reza
3 Pinheiro, Lucélia Kowalski
3 Sessa, Valentina
3 Stanić, Zoran
3 Tian, Fenglei
3 You, Lihua
3 Zhang, Rong
3 Zheng, Yirong
2 Abiad, Aida
2 Aguilar, Cesar O.
2 Alfaro Montúfar, Carlos Alejandro
2 Alghamdi, Ahmad Mohammed Ahmad
2 Alhevaz, Abdollah
2 Aouchiche, Mustapha
2 Baillon, Jean-Bernard
2 Belhoul, Yacine
2 Chang, An
2 Chat, Bilal Ahmad
2 Choi, Jinwon
2 Cruz, Roberto
2 de Abreu, Nair Maria Maia
2 de Freitas, Maria Aguieiras A.
2 de Lima, Leonardo S.
2 Dratman, Ezequiel
2 Fakharan, M. H.
2 Fiori, Marcelo
2 Flores-Lamas, Alejandro
2 Flórez, Rigoberto
2 Glogić, Edin
2 Grippo, Luciano Norberto
2 Hedetniemi, Sandra Lee Mitchell
2 Helmberg, Christoph
2 Higuita, Robinson A.
2 Huang, Qiongxiang
2 Jaume, Daniel A.
2 Justel, Claudia Marcela
2 Kheddouci, Hamamache
2 Koledin, Tamara
2 Levit, Vadim E.
2 Li, Wenjun
...and 283 more Authors
all top 5

Cited in 91 Serials

76 Linear Algebra and its Applications
22 Applied Mathematics and Computation
19 Linear and Multilinear Algebra
17 Discrete Applied Mathematics
16 Discrete Mathematics
8 Theoretical Computer Science
8 ELA. The Electronic Journal of Linear Algebra
7 Information Processing Letters
7 Graphs and Combinatorics
7 Computational and Applied Mathematics
4 Discrete Mathematics, Algorithms and Applications
3 Czechoslovak Mathematical Journal
3 Journal of Number Theory
3 Journal of Algebraic Combinatorics
3 The Electronic Journal of Combinatorics
3 Journal of Inequalities and Applications
3 Mediterranean Journal of Mathematics
3 Transactions on Combinatorics
3 Special Matrices
3 DML. Discrete Mathematics Letters
2 American Mathematical Monthly
2 Computers & Mathematics with Applications
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Symbolic Computation
2 Journal of Parallel and Distributed Computing
2 The Australasian Journal of Combinatorics
2 Discussiones Mathematicae. Graph Theory
2 Journal of Difference Equations and Applications
2 Journal of Mathematical Chemistry
2 Mathematical Problems in Engineering
2 Taiwanese Journal of Mathematics
2 Journal of Integer Sequences
2 Integers
1 Journal of Mathematical Analysis and Applications
1 The Mathematical Gazette
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Combinatorial Theory. Series B
1 Journal of Computational and Applied Mathematics
1 Journal of Optimization Theory and Applications
1 Proceedings of the American Mathematical Society
1 Tamkang Journal of Mathematics
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Order
1 Algorithmica
1 International Journal of Intelligent Systems
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of the Ramanujan Mathematical Society
1 International Journal of Foundations of Computer Science
1 Aequationes Mathematicae
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Applicable Algebra in Engineering, Communication and Computing
1 Computational Optimization and Applications
1 The Journal of Analysis
1 Finite Fields and their Applications
1 Optimization Methods & Software
1 Journal of Combinatorial Optimization
1 Journal of Discrete Mathematical Sciences & Cryptography
1 RAIRO. Operations Research
1 La Gaceta de la Real Sociedad Matemática Española
1 Foundations of Computational Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 MATCH - Communications in Mathematical and in Computer Chemistry
1 Journal of Algebra and its Applications
1 Parallel Processing Letters
1 Proyecciones
1 Optimization Letters
1 Applicable Analysis and Discrete Mathematics
1 Electronic Journal of Statistics
1 Asian-European Journal of Mathematics
1 Ars Mathematica Contemporanea
1 Set-Valued and Variational Analysis
1 Science China. Mathematics
1 Iranian Journal of Mathematical Chemistry
1 Journal of Mahani Mathematical Research Center
1 Journal of Mathematical Research with Applications
1 Carpathian Mathematical Publications
1 Journal of Mathematics
1 Electronic Journal of Graph Theory and Applications
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 Communications in Combinatorics and Optimization
1 AIMS Mathematics
1 British Journal for the History of Mathematics
1 Trends in Computational and Applied Mathematics

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