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

On Quipus whose signless Laplacian index does not exceed 4.5 |
Francesco Belardo, and Maurizio Brunetti, and Jianfeng Wang | Journal of Algebraic Combinatorics, Accepted for publication (25 pages), 2022. |

Laplacian eigenvalue distribution and graph parameters |
M. Ahanjideha, Saieed Akbari, and M.H. Fakharan | Linear Algebra and its Applications, Volume 632, Pages 1–14, 2022. |

On the spectral characterization of the p-sun and the (p, q)-double sun |
L. Emilio Allem and Lucas da Silveira | Linear Algebra and its Applications, Volume 636, Pages 1–24, 2022. |

Spectral ordering and 2-switch transformations |
Elismar Oliveira, and Victor N. Schvöllner | American Journal of Combinatorics, Volume 1, Pages 1–19, 2022. |

Applications of rational difference equations to spectral graph theory |
Elismar Oliveira | Journal of Difference Equations and Applications, Volume 27, Pages 1024–1051, 2021. |

Locating eigenvalues of unbalanced unicyclic signed graphs |
Francesco Belardo, and Maurizio Brunetti | Applied Mathematics and Computation, Volume 400. paper 126082, (18 pages), 2021. |

Most Laplacian eigenvalues of a tree are small |
David Jacobs and Elismar Oliveira | Journal of Combinatorial Theory, Series B, Volume 146, Pages 1-33, 2021. |

Complementarity spectrum of digraphs |
Diego Bravo, Florencia Cubría, and Marcelo Fiori, | Linear Algebra and its Applications Volume 627, p. 26-40, 2021. |

Domination and Spectral Graph Theory |
Carlos Hoppen and David Jacobs | Structures of Domination in Graphs, T. Haynes, S. Hedetniemi, M. Henning, eds; Developments in Mathematics book series, Springer; pages 245-272, 2021. |

On the sum of k largest Laplacian eigenvalues of a graph and clique number |
Hilal A. Ganie , and S. Pirzada | Mediterranean Journal of Mathematics, Volume 36, Article 15 (13 pages), 2021. |

Principal eigenvectors of general hypergraphs |
Kauê Cardoso | Linear and Multilinear Algebra, Volume 69, p. 2641-2656, 2021. |

Characterizing threshold graphs with k main signless Laplacian eigenvalues |
Cybele T.M.Vinagrea, Johann Bolckau, Rodrigo Chimellia | Linear Algebra and its Applications Volume 602, p. 33-45, 2020. |

Null decomposition of unicyclic graphs |
Luiz Emilio Allem, Daniel Jaume, Gonzalo Molina and Maikon M. Toledo | Discrete Applied Mathematics Volume 285, p. 594 - 611 , 2020. |

Efficient diagonalization of symmetric matrices associated with graphs of small tree-width |
Martin Furer, and Carlos Hoppen | 47th ICALP 2020 - International Colloquium on Automata, Languages, and Programming Ed.: A. Czumaj, A. Dawar, and E. Merelli; Article No. 52; pp. 52:1–52:18 |

The spectrum of a class of uniform hypergraphs |
Kauê Cardoso, and Carlos Hoppen | Linear Algebra and its Applications, Volume 590, Pages 243-257, 2020. |

Further developments on Brouwer’s conjecture for the sum of Laplacian eigenvalues of graphs |
Hilal A. Ganie , S. Pirzada , and Bilal A.Rather | Linear Algebra and its Applications, Volume 588, pages - 18, 2020. |

Energies of hypergraphs |
Kauê Cardoso | ELA - Electronic Journal of Linear Algebra , Volume 36, pp. 293 - 308, 2020. |

Independence and matching numbers of unicyclic graphs from null space |
Luiz Emilio Allem, Daniel Jaume, Gonzalo Molina and Maikon M. Toledo | Computational and Applied Mathematics Volume 39, Article 64, 18 pages, 2020. |

Determining graphs by the complementary spectrum |
Lucélia Kowalski Pinheiro and Bruna Santos de Souza | Discussiones Mathematicae Graph Theory , Vol 40, Number 2, pp 607-220, 2020 |

Spectral radius ordering of starlike trees |
Elismar Oliveira and Dragan Stevanovic | Linear and Multilinear Algebra, Volume 68, 2020 - Issue 5,pp.991-1000, 2020 (accepted in 2018). |

Nordhaus-Gaddum type inequalities for the two largest Laplacian eigenvalues |
Rodrigo Grijó, Leonardo Lima, Carla Oliveira and Guilherme Porto | Discrete Appied Mathematics , Volume 267, pp 176-183, 2019. |

Spectral norm of oriented graphs |
Carlos Hoppen and Juan Daniel Monsalve | Linear Algebra and its Applications , Volume 574, pp. 167-181, 2019. |

Spectral ordering of trees with small index |
Francesco Belardo and Elismar Oliveira | Linear Algebra and its Applications, Volume 575, pp 250-272, 2019. |

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. |