Title | Joint with | Publication data |
---|---|---|

Eigenvalue location in graphs of small clique-width |
Martin Furer , Carlos Hoppen and David Jacobs | Submitted, 2017. |

On a conjecture involving eigenvalues of trees |
David Jacobs | accepeted for publication as book chapter. |

Eigenvalue location in cographs |
David Jacobs and Fernando C. Tura | Discrete Applied Mathematics , accepted, 2017. |

Laplacian distribution and domination |
David Jacobs and Domingos Cardoso | Graphs and Combinatorics, Accepted, 2017. |

Maximality of the signless Laplacian energy |
Lucélia Kowalski Pinheiro | Discrete Mathematics, Acceepted, 2017 |

Locating eigenvalues of unicyclic graphs |
Rodrigo Orsini Braga, and Virgìnia Maria Rodrigues | Applicable Analysis and Discrete Mathematics, Accepted, 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. |

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 | 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 | 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. |