Edit Profile (opens in new tab) Trevisan, Vilmar Co-Author Distance Author ID: trevisan.vilmar Published as: Trevisan, Vilmar; Trevisan, V. External Links: ORCID Documents Indexed: 102 Publications since 1991, including 1 Book and 3 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 82 Reviews Co-Authors: 86 Co-Authors with 102 Joint Publications 2,099 Co-Co-Authors 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 all top 5 Fields 80 Combinatorics (05-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 15 Number theory (11-XX) 10 Computer science (68-XX) 8 Field theory and polynomials (12-XX) 4 Numerical analysis (65-XX) 4 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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 all top 5 Cited in 29 Fields 263 Combinatorics (05-XX) 114 Linear and multilinear algebra; matrix theory (15-XX) 22 Number theory (11-XX) 20 Computer science (68-XX) 9 Operations research, mathematical programming (90-XX) 7 Field theory and polynomials (12-XX) 7 Numerical analysis (65-XX) 7 Biology and other natural sciences (92-XX) 5 Commutative algebra (13-XX) 5 Special functions (33-XX) 5 Systems theory; control (93-XX) 4 Operator theory (47-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year