| Title | Joint with | Publication data |
|---|---|---|
| Spectral radius ordering of starlike trees | Elismar Oliveira and Dragan Stevanovic | Linear and Multilinear Algebra, accepted, 2018. |
| Eigenvalue location in graphs of small clique-width | Martin Furer, Carlos Hoppen and David Jacobs | Linear Algebra and Its Applications, Vol. 560, pp. 56-85, 2019. |
| Partial characterization of graphs having a single large Laplacian eigenvalue | Luiz Emilio Allem, Antonio Cafure, Ezequiel Dratman, Luciano N. Grippo and Martín D. Safe | Eletronic Journal of combinatorics Volume 25, Issue 4, P4.65, 2018. |
| On a conjecture involving eigenvalues of trees | David Jacobs | In Graph Theory- Favorite Conjectures and Open Problems , Springer International Publishing, 2018, v. 2 , p. 27-42. |
| Eigenvalue location in cographs | David Jacobs and Fernando C. Tura | Discrete Applied Mathematics, vol. 245, pp. 220–235, 2018, |
| Locating the Eigenvalues for Graphs of Small Clique-Width | Martin Furer , Carlos Hoppen and David Jacobs | LATIN 2018, Lecture Notes in Computer Science, Vol. 10807, pp. 475–489, 2018 |
| Maximality of the signless Laplacian energy | Lucélia Kowalski Pinheiro | Discrete Mathematics, vol. 341, p. 33-41, 2018. |
| Laplacian distribution and domination | David Jacobs and Domingos Cardoso | Graphs and Combinatorics, v. 33, p. 1283-1295, 2017. |
| Exponentially many graphs have a Q-spectral mate | João Carvalho, Bruna Souza and Fernando C. Tura | Discrete Mthematics Vol. 340, Issue 9, p. 2079–2085, 2017. |
| Locating eigenvalues of unicyclic graphs | Rodrigo Orsini Braga, and Virgìnia Maria Rodrigues | Applicable Analysis and Discrete Mathematics, v. 11, p. 273–298, 2017. |
| On graphs with a single large Laplacian eigenvalue. | Luiz Emilio Allem, Antonio Cafure, Ezequiel Dratman, Luciano N. Grippo and Martín D. Safe | LAGOS 2017, Eletronic Notes in Discrete Mathematics, vol. 62, p. 297-302, 2017. |
| Complementary eigenvalues of graphs | Rafael Fernandes and Joaquim Judice | Linear Algebra and Its Applications Vol 527, p. 216–231, 2017. |
| Some Results for the (Signless) Laplacian Resolvent | Antonio Cafure, Daniel A. Jaume, Luciano N. Grippo, Adrián Pastine, Martín D. Safe and Ivan Gutman | MATCH - Communications in Mathematical and in Computer Chemistry Vol. 77, Number 1, p. 105-114, 2017. |
| Resolvent Energy of Unicyclic, Bicyclic and Tricyclic Graphs | Luiz Emilio Allem, Juliane Capaverde, Ivan Gutman, Emir Zogic and Edin Glogic | MATCH - Communications in Mathematical and in Computer Chemistry Vol. 77, Number 1, p. 95-104, 2017. |
| Maximal Laplacian energy of unicyclci graphs | Kinkar C. Das, Eliseu Fritscher and Lucélia K. Pinheiro | Discrete Applied Mathematics, Vol. 218, p. 71-81, 2017. |
| Spectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energy | Christoph Helmberg | Linear Algebra and its Applications, Vol. 512, p. 18-31, 2017. |
| A Fiedler-like theory for the perturbed Laplacian | Israel Rocha | Czechoslovak Mathematical Journal, Vol. 66 (141), p. 717-735, 2016 |
| Exploring symmetries to decompose matrices and graphs preserving the spectrum | Eliseu Fritscher | SIAM Journal on Matrix Analysis and Applications, Vol. 37, p. 260-289, 2016. |
| Distribution of Laplacian eigenvalues of graphs | Kinkar C. Das and Seyed Ahmad Mojallal | Linear Algebra and its Applications, Vol. 508, p. 48-61, 2016. |
| Some spectral properties of cographs | Ali Mohammadian | Discrete Mathematics, Volume 339, Issue 4, p. 1261–1264, 2016. |
| Domination Number and Laplacian Eigenvalue Distribution | Stephen Hedetniemi and David Jacobs | European Journal of Combinatorics, Vol. 53, p. 66-71, 2016. |
| Normalized Laplacian energy change and edge deletion | Luiz Emilio Allem and David Jacobs | MATCH - Communications in Mathematical and in Computer Chemistry Vol. 75, Number 2, p. 343-353, 2016. |
| Algebraic connectivity of k-connected graphs | Stephen Kirkland and Israel Rocha | Czechoslovak Mathematical Journal, Vol. 65 (140), p.218-236, 2015. |
| Threshold Graphs of Maximal Laplacian Energy | Christoph Helmberg | Discrete Mathematics, Vol 338, p. 1075–1084, 2015. |
| Trees with 4 or 5 distinct normalized Laplacian eigenvalues | Rodrigo Orsini Braga, Renata Raposo Del-Vecchio and Virgìnia Maria Rodrigues | Linear Algebra and its Applications, Vol. 471, p. 615–635, 2015. |
| Eigenvalues and energy in threshold graphs | David Jacobs and Fernando C. Tura | Linear Algebra and its Applications, Vol. 465, p. 412–425, 2015. |
| Computing the characteritic polynomial of threshold graphs | David Jacobs and Fernando C. Tura | Journal of Graph Algorithms and Applications, Vol. 18, no. 5, pp. 709-719, 2014. |
| Bounding the sum of the largest Laplacian eigenvalues of graphs | Israel Rocha | Discrete Applied Mathematics, Vol. 170, p. 95–103, 2014. |
| Ordering trees and graphs with few cycles by algebraic connectivity | Nair Abreu, Claudia Justel and Oscar Rojo | Linear Algebra and its Applications, Vol. 458, p. 429–453, 2014 |
| Unicyclic graphs with equal Laplacian energy | Eliseu Fritscher and Carlos Hoppen | Linear and Multilinear Algebra, Vol. 62, p. 180-194, 2014. |
| Characterizing trees with large Laplacian energy | Eliseu Fritscher, Carlos Hoppen and Israel Rocha | Linear Algebra and its Application, Vol. 442, p. 20-49, 2014. |
| Locating the eigenvalues of threshold graphs | David Jacobs and Fernando Tura | Linear Algebra and its Application, Vol. 439 (10), p. 2762-2773, 2013. |
| Maximum Laplacian energy among threshold graphs | Renata Del-Vecchio, Dagoberto Justo and Cybele Vinagre | Linear Algebra and its Applications, Vol. 439 (5), p. 1479-1495, 2013. |
| On the distribuition of Laplacian eigenvalues of trees | Rodrigo O. Braga and Virgìnia M. Rodrigues | Discrete Mathematics, Vol. 313 (21), p. 2382-2389, 2013. |
| Extracting sparse factors of multivariate integral polynomials | Luis Emilio Allem and Shuhong Gao | Journal of Symbolic Computation, Vol. 52, p. 3-16, 2013. |
| Computing the Laplacian spectra of some graphs | Domingos Cardoso, Enide Andrade Martins and María Robbiano | Discrete Applied Mathematics, Vol. 160, p. 645-2654, 2012 |
| Resultant of Chebyshev polynomials | David Jacobs and Mohamed Rayes | Canadian Mathematical Bulletin, Vol. 54, n. 2, p. 288 - 296, 2011. |
| gcd of multivariate polynomials via Newton polytopes | Luis Emilio Allem | Applied Mathematics and Computation, Vol. 217, n. 21, p. 8377 - 8386, 2011. |
| On the sum of the largest Laplacian eigenvalues of a tree | Eliseu Fritscher, Carlos Hoppen and Israel Rocha | Linear Algebra and its Application, Vol. 435, p. 371–399, 2011. |
| Algebraic connectivity on a subclass of caterpillars | Oscar Rojo and Israel Rocha | LAGOS 2011, Electronic Notes in Discrete Mathematics, Volume 37, p. 153-158, 2011. |
| Laplacian energy of diameter 3 trees | João Carvalho , Renata R. del Vecchio, and Cybele T. M. Vinagre | Applied Matehmatics Letters, Vol. 24 p.918–923, 2011. |
| A note of Gao's algorithm for polynomial factorization | Carlos Hoppen and Virginia Rodrigues | Theoretical Computer Science, Vol. 412, p 1508-1522, 2011. |
| Locating the eigenvalues of trees | David Jacobs | Linear Algebra and its Applications, Vol. 434, p. 81-88, 2011. |
| Integral trees homeomorphic to a double star | Andries Brouwer, Renata R. del Vecchio, David Jacobs, and Cybele T. M. Vinagre | Bulletin of the ICA, Vol. 61, p. 77-80, 2011. |
| Applications of recurrence relations for the characteristic polynomials of Bethe trees | María Robbiano | Computers and Mathematics with Applications, Vol. 59, p. 3039-3044, 2010. |
| A linear model for compound multicommodity network flow problems | Catia M. S. Machado and Sérgio Mayerle | Computers and Operations Research, Vol. 37, p. 1075-1086, 2010. |
| On the spectra and energies of double-broom-like trees | Renata R. del Vecchio, Ivan Gutman and Cybele T. M. Vinagre | Kragujevac Journal of Science, Vol. 31, p. 45-58, 2009. |
| Distance-k knowledge in self-stabiling algorithms | Wayne Goddard , David Jacobs and Stephen Hedetniemi | Theoretical Computer Science, Vol. 399, n.1-2, p. 118-127, 2008 |
| Computing the Inverse of a Tree's Incidence Matrix | David Jacobs, Catia M. S. Machado and Elaine C. Pereira | Congressus Numerantium, Vol. 189, p. 169-176, 2008. |
| Characterization of Chebyshev numbers | David Jacobs and Mohamed Rayes | Algebra and Discrete Mathematics, Vol. 7, n.2, p. 65-82, 2008. |
| Randomized compositeness testing with Chebyshev polynomials | David Jacobs and Mohamed Rayes | International Journal of Pure and Applied Mathematics, Vol. 44, n. 3, p. 347-362, 2008. |
| Primality from factorization properties of Chebyshev polynomials | Mohamed Rayes | JP Journal of Algebra Number Theory and Applications, Vol. 6, n. 3, p. 503-514, 2006. |
| Distance-k information in self-stabiling algorithms | Wayne Goddard , David Jacobs and Stephen Hedetniemi | SIROCCO 2006, Lecture Notes of Computer Science, Vol. 4056, p. 349-356, 2006. |
| Factorization properties of Chebyshev polynomials | Mohamed Rayes and Paul Wang | Computers and Mathematics with Applications, Vol. 50, n. 8, p. 1231-1241, 2005. |
| A modular integer GCD algorithm | Kenneth Weber and L. Felipe Martins | Journal of Algorithms, Vol. 54, n. 2, p. 152-167, 2005. |
| An $O(n^2)$ algorithm for the characteristic polynomial of a tree | David Jacobs and Catia Machado | JCMCC. Journal of Combinatorial Mathematics and Combinatorial Computing, Vol. 54, p. 213-221, 2005. |
| Testing the converse of Wolstenholme's theorem | Kenneth Weber | Matematica Contemporanea, Vol. 21, p. 275-286, 2001. |
| An Algebraic algorithm to isolate complex polynomial zeros using Sturm sequences | M. Angelica Brunetto and Dalcidio Claudio | Computers and Mathematics with Applications, Vol. 39, p. 95-105, 2000. |
| Linear-time LUP decomposition of forest-like matrices | David Jacobs | Computers and Mathematics with Applications, Vol. 37, p. 37-50, 1999. |
| Rational representation of modular numbers | Peter Hintenaus | Matematica Contemporanea, Vol. 16, p. 117-128, 1999. |
| Constructing the characteristic polynomial of a tree's adjacency matrix | David Jacobs | Congressus Numerantium, Vol. 134, p. 139-145, 1998. |
| The determinant of a tree's neighborhood matrix | David Jacobs | Linear Algebra and its Applications, Vol. 256, p. 235-250, 1997. |
| Reducing the adjacency matrix of a tree | Gerd Fricke , David Jacobs and Stephen Hedetniemi | Eletronic Journal of Linear Algebra, Vol. 1, n. 1, p. 34-44, 1996. |
| The composite character Of the twenty-second Fermat number. | João Carvalho | The Journal of Supercomputing, Vol. 9, n. 1, p. 179-183, 1995. |
| Um Algoritmo algébrico para isolar zeros polinomias complexos | M. Angelica Brunetto and Dalcidio Claudio | RITA - Revista de Informatica Teórica e Aplicada, Vol. II, n. 2, p. 93-113, 1995. |
| Polynomial factorization | - | Matematica Contemporanea, Vol. 7, p. 185-198, 1994. |
| Polynomial Factorization: sharp bounds, efficient algorithms | Bernard Beauzamy and Paul Wang | Journal of Symbolic Computation, Vol. 15, n. 4, p. 391-414, 1993. |
| Methods for approximating the Mahler measure | - | Boletim da SBMAC - Série II, Vol. 3, n. 1, p. 29-36, 1992. |
| Practical factorization of univariate polynomial factorization over finite fields | Paul Wang | Proceedings of ISSAC, Bonn p. 22-32, 1991. |
| Computação algébrica e simbólica | - | Boletim da SBMAC , Série II, Vol. 2, n. 2, p. 1-18, 1991. |
| Recognition of Hurwitz polynomials | - | SIGSAM Bulletin , Vol. 24, n. 4, p. 26-32, 1990. |