All Stories

  1. Brouwer's Conjecture for the Cartesian product of graphs

    Article • Linear Algebra and its Applications, March 2024, Elsevier

    Professor Vilmar Trevisan

  2. Graphs sharing an arbitrary number of ordered complementarity eigenvalues

    Article • Discrete Mathematics, March 2024, Elsevier

    Professor Vilmar Trevisan

  3. Locating Eigenvalues of Symmetric Matrices - A Survey

    Article • Electronic Journal of Linear Algebra, January 2024, University of Wyoming Libraries

    Professor Vilmar Trevisan

  4. Diminimal families of arbitrary diameter

    Article • Linear Algebra and its Applications, November 2023, Elsevier

    Professor Vilmar Trevisan

  5. Exploring symmetries in cographs: Obtaining spectra and energies

    Article • Discrete Applied Mathematics, January 2023, Elsevier

    Professor Vilmar Trevisan

  6. Adjacency energy of hypergraphs

    Article • Linear Algebra and its Applications, September 2022, Elsevier

    Professor Vilmar Trevisan

  7. On the spectral characterization of the p-sun and the (p,q)-double sun

    Article • Linear Algebra and its Applications, March 2022, Elsevier

    Professor Vilmar Trevisan

  8. On Quipus whose signless Laplacian index does not exceed 4.5

    Article • Journal of Algebraic Combinatorics, January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  9. Laplacian eigenvalue distribution and graph parameters

    Article • Linear Algebra and its Applications, January 2022, Elsevier

    Professor Vilmar Trevisan

  10. Distance-Hereditary Graphs

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  11. Graph Classes and Graph Decompositions

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  12. Introduction

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  13. Locating Eigenvalues Using Slick Clique Decomposition

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  14. Locating Eigenvalues Using Tree Decomposition

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  15. Locating Eigenvalues in Cographs

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  16. Locating Eigenvalues in Graphs

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  17. Locating Eigenvalues in Trees

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  18. Preliminaries

    Article • January 2022, Springer Science + Business Media

    Professor Vilmar Trevisan

  19. The signless Laplacian matrix of hypergraphs

    Article • Special Matrices, January 2022, De Gruyter

    Professor Vilmar Trevisan

  20. Complementarity spectrum of digraphs

    Article • Linear Algebra and its Applications, October 2021, Elsevier

    Professor Vilmar Trevisan

  21. Applications of rational difference equations to spectral graph theory

    Article • The Journal of Difference Equations and Applications, July 2021, Taylor & Francis

    Professor Vilmar Trevisan

  22. Characterizing threshold graphs with k main signless Laplacian eigenvalues

    Article • Linear Algebra and its Applications, October 2020, Elsevier

    Professor Vilmar Trevisan

  23. Null decomposition of unicyclic graphs

    Article • Discrete Applied Mathematics, October 2020, Elsevier

    Professor Vilmar Trevisan

  24. Energies of Hypergraphs

    Article • Electronic Journal of Linear Algebra, May 2020, University of Wyoming Libraries

    Professor Vilmar Trevisan

  25. The spectrum of a class of uniform hypergraphs

    Article • Linear Algebra and its Applications, April 2020, Elsevier

    Professor Vilmar Trevisan

  26. Further developments on Brouwer's conjecture for the sum of Laplacian eigenvalues of graphs

    Article • Linear Algebra and its Applications, March 2020, Elsevier

    Professor Vilmar Trevisan, Prof. Shariefuddin Pirzada

  27. Determining graphs by the complementary spectrum

    Article • Discussiones Mathematicae Graph Theory, January 2020, Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gora

    Professor Vilmar Trevisan

  28. Principal eigenvectors of general hypergraphs

    Article • Linear and Multilinear Algebra, November 2019, Taylor & Francis

    Professor Vilmar Trevisan

  29. Spectral norm of oriented graphs

    Article • Linear Algebra and its Applications, August 2019, Elsevier

    Professor Vilmar Trevisan

  30. Spectral ordering of trees with small index

    Article • Linear Algebra and its Applications, August 2019, Elsevier

    Professor Vilmar Trevisan

  31. Eigenvalue location in graphs of small clique-width

    Article • Linear Algebra and its Applications, January 2019, Elsevier

    Professor Vilmar Trevisan

  32. Spectral radius ordering of starlike trees

    Article • Linear and Multilinear Algebra, September 2018, Taylor & Francis

    Professor Vilmar Trevisan

  33. Eigenvalue location in cographs

    Article • Discrete Applied Mathematics, August 2018, Elsevier

    Professor Vilmar Trevisan

  34. Autovalores do Produto Forte

    Article • February 2018, Brazilian Society for Computational and Applied Mathematics (SBMAC)

    Professor Vilmar Trevisan

  35. Sum of the k Largest Signless Laplacian Eigenvalues

    Article • February 2018, Brazilian Society for Computational and Applied Mathematics (SBMAC)

    Professor Vilmar Trevisan

  36. Famílias infinitas de grafos Q-equienergéticos

    Article • February 2018, Brazilian Society for Computational and Applied Mathematics (SBMAC)

    Professor Vilmar Trevisan

  37. Maximality of the signless Laplacian energy

    Article • Discrete Mathematics, January 2018, Elsevier

    Professor Vilmar Trevisan

  38. Exponentially many graphs have aQ-cospectral mate

    Article • Discrete Mathematics, September 2017, Elsevier

    Professor Vilmar Trevisan

  39. Laplacian Distribution and Domination

    Article • Graphs and Combinatorics, August 2017, Springer Science + Business Media

    Professor Vilmar Trevisan

  40. Complementary eigenvalues of graphs

    Article • Linear Algebra and its Applications, August 2017, Elsevier

    Professor Vilmar Trevisan

  41. Grafos split completos com energia laplaciana sem sinal máxima

    Article • April 2017, Brazilian Society for Computational and Applied Mathematics (SBMAC)

    Professor Vilmar Trevisan

  42. Maximum Laplacian energy of unicyclic graphs

    Article • Discrete Applied Mathematics, February 2017, Elsevier

    Professor Vilmar Trevisan

  43. Spectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energy

    Article • Linear Algebra and its Applications, January 2017, Elsevier

    Professor Vilmar Trevisan

  44. Distribution of Laplacian eigenvalues of graphs

    Article • Linear Algebra and its Applications, November 2016, Elsevier

    Professor Vilmar Trevisan

  45. A Fiedler-like theory for the perturbed Laplacian

    Article • Czechoslovak Mathematical Journal, September 2016, Institute of Mathematics, Czech Academy of Sciences

    Professor Vilmar Trevisan

  46. Domination number and Laplacian eigenvalue distribution

    Article • European Journal of Combinatorics, April 2016, Elsevier

    Professor Vilmar Trevisan

  47. Some spectral properties of cographs

    Article • Discrete Mathematics, April 2016, Elsevier

    Professor Vilmar Trevisan

  48. Exploring Symmetries to Decompose Matrices and Graphs Preserving the Spectrum

    Article • SIAM Journal on Matrix Analysis and Applications, January 2016, Society for Industrial & Applied Mathematics (SIAM)

    Professor Vilmar Trevisan

  49. Diagonalization of generalized lollipop graphs

    Article • Electronic Notes in Discrete Mathematics, December 2015, Elsevier

    Professor Vilmar Trevisan

  50. Threshold graphs of maximal Laplacian energy

    Article • Discrete Mathematics, July 2015, Elsevier

    Professor Vilmar Trevisan

  51. Trees with 4 or 5 distinct normalized Laplacian eigenvalues

    Article • Linear Algebra and its Applications, April 2015, Elsevier

    Professor Vilmar Trevisan

  52. Eigenvalues and energy in threshold graphs

    Article • Linear Algebra and its Applications, January 2015, Elsevier

    Professor Vilmar Trevisan

  53. Ordering trees and graphs with few cycles by algebraic connectivity

    Article • Linear Algebra and its Applications, October 2014, Elsevier

    Professor Vilmar Trevisan

  54. EL METODO DE CANTOR- ZASSENHAUS PARA FACTORIZAR POLINOMIOS EN CAMPOS FINITOS

    Article • Selecciones Matemáticas, June 2014, Scientia Agropecuaria

    Professor Vilmar Trevisan

  55. Bounding the sum of the largest Laplacian eigenvalues of graphs

    Article • Discrete Applied Mathematics, June 2014, Elsevier

    Professor Vilmar Trevisan

  56. Characterizing trees with large Laplacian energy

    Article • Linear Algebra and its Applications, February 2014, Elsevier

    Professor Vilmar Trevisan

  57. Preface

    Article • Linear Algebra and its Applications, February 2014, Elsevier

    Professor Vilmar Trevisan

  58. Computing the Characteristic Polynomial of Threshold Graphs

    Article • Journal of Graph Algorithms and Applications, January 2014, Journal of Graph Algorithms and Applications

    Professor Vilmar Trevisan

  59. Eigenvalue location in threshold graphs

    Article • Linear Algebra and its Applications, November 2013, Elsevier

    Professor Vilmar Trevisan

  60. On the distribution of Laplacian eigenvalues of trees

    Article • Discrete Mathematics, November 2013, Elsevier

    Professor Vilmar Trevisan

  61. Maximum Laplacian energy among threshold graphs

    Article • Linear Algebra and its Applications, September 2013, Elsevier

    Professor Vilmar Trevisan

  62. Extracting sparse factors from multivariate integral polynomials

    Article • Journal of Symbolic Computation, May 2013, Elsevier

    Professor Vilmar Trevisan

  63. Unicyclic graphs with equal Laplacian energy

    Article • Linear and Multilinear Algebra, March 2013, Taylor & Francis

    Professor Vilmar Trevisan

  64. Computing the Laplacian spectra of some graphs

    Article • Discrete Applied Mathematics, December 2012, Elsevier

    Professor Vilmar Trevisan

  65. Algebraic connectivity on a subclass of caterpillars

    Article • Electronic Notes in Discrete Mathematics, August 2011, Elsevier

    Professor Vilmar Trevisan

  66. Gcd of multivariate polynomials via Newton polytopes

    Article • Applied Mathematics and Computation, July 2011, Elsevier

    Professor Vilmar Trevisan

  67. On the sum of the Laplacian eigenvalues of a tree

    Article • Linear Algebra and its Applications, July 2011, Elsevier

    Professor Vilmar Trevisan

  68. Laplacian energy of diameter 3 trees

    Article • Applied Mathematics Letters, June 2011, Elsevier

    Professor Vilmar Trevisan

  69. The Resultant of Chebyshev Polynomials

    Article • Canadian Mathematical Bulletin, June 2011, Canadian Mathematical Society

    Professor Vilmar Trevisan

  70. A note on Gao’s algorithm for polynomial factorization

    Article • Theoretical Computer Science, April 2011, Elsevier

    Professor Vilmar Trevisan

  71. Locating the Eigenvalues of Trees

    Article • Linear Algebra and its Applications, January 2011, Elsevier

    Professor Vilmar Trevisan

  72. A linear model for compound multicommodity network flow problems

    Article • Computers & Operations Research, June 2010, Elsevier

    Professor Vilmar Trevisan

  73. Applications of recurrence relations for the characteristic polynomials of Bethe trees

    Article • Computers & Mathematics with Applications, May 2010, Elsevier

    Professor Vilmar Trevisan

  74. Distance- k knowledge in self-stabilizing algorithms

    Article • Theoretical Computer Science, June 2008, Elsevier

    Professor Vilmar Trevisan

  75. Distance-k Information in Self-stabilizing Algorithms

    Article • January 2006, Springer Science + Business Media

    Professor Vilmar Trevisan

  76. Factorization properties of chebyshev polynomials

    Article • Computers & Mathematics with Applications, October 2005, Elsevier

    Professor Vilmar Trevisan

  77. A modular integer GCD algorithm

    Article • Journal of Algorithms, February 2005, Elsevier

    Professor Vilmar Trevisan

  78. Testing the converse of Wolstenholme’s theorem

    Article • Matemática Contemporânea, January 2001, Sociedade Brasileira de Matematica

    Professor Vilmar Trevisan

  79. Linear-time LUP decomposition of forest-like matrices

    Article • Computers & Mathematics with Applications, May 1999, Elsevier

    Professor Vilmar Trevisan

  80. Rational representation of modular numbers

    Article • Matemática Contemporânea, January 1999, Sociedade Brasileira de Matematica

    Professor Vilmar Trevisan

  81. The determinant of a tree's neighborhood matrix

    Article • Linear Algebra and its Applications, April 1997, Elsevier

    Professor Vilmar Trevisan

  82. Reducing the adjacency matrix of a tree

    Article • Electronic Journal of Linear Algebra, January 1996, University of Wyoming Libraries

    Professor Vilmar Trevisan

  83. The composite character of the twenty-second Fermat number

    Article • The Journal of Supercomputing, March 1995, Springer Science + Business Media

    Professor Vilmar Trevisan

  84. Polynomial factorization

    Article • Matemática Contemporânea, January 1995, Sociedade Brasileira de Matematica

    Professor Vilmar Trevisan

  85. Polynomial Factorization: Sharp Bounds, Efficient Algorithms

    Article • Journal of Symbolic Computation, April 1993, Elsevier

    Professor Vilmar Trevisan

  86. Practical factorization of univariate polynomials over finite fields

    Article • January 1991, ACM (Association for Computing Machinery)

    Professor Vilmar Trevisan

  87. Recognition of Hurwitz polynomials

    Article • ACM SIGSAM Bulletin, October 1990, ACM (Association for Computing Machinery)

    Professor Vilmar Trevisan