| Title |
Joint with |
Publication data |
| Brouwer's Conjecture for the cartesian product of graphs |
Guilherme S. Torres |
Linear Algebra and its Applications, Volume 685, Pages 66-76, 2024. |
| Graphs sharing an arbitrary number of ordered complementarity eigenvalues. |
David Sossa |
Discrete Mathematics, Volume 347, p. 113788, 2024. |
| Exploring symmetries in cographs: Obtaining spectra and energies. |
Átila Jones, and Cybele Vinagre |
Discrete Applied Mathematics, Volume 325, Pages 120-133, 2023.
| >
| Diminimal families of arbitrary diameter |
L. Emilio Allem, Rodrigo Braga, Carlos Hoppen,
Elismar Oliveira, and Lucas S. Sibemberg |
Linear Algebra and its Applications, Volume 676, Pages 318-351, 2023. |
| Characterization of digraphs with three complementarity eigenvalues |
Diego Bravo, Florencia Cubría, and Marcelo Fiori |
Journal of Algebraic Combinatorics, Volume 57, Pages 1173-1193, 2023. |
| Classification of Trees by Laplacian Eigenvalue Distribution and Edge Covering Number. |
Saieed Akbari,
M. Alaeiyan, and M. Darougheh |
Linear Algebra and its Applications, Volume 677, Pages 221–236, 2023. |
| On Quipus whose signless Laplacian index does not exceed 4.5 |
Francesco Belardo,
Maurizio Brunetti, and Jianfeng Wang
|
Journal of Algebraic Combinatorics, Volume 55, Pages 1199-1223, 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 G. M. da Silveira |
Linear Algebra and its Applications, Volume 636, Pages 1–24, 2022. |
| The signless Laplacian matrix of hypergraphs |
Kauê Cardoso |
Special Matrices, Volume 10, p. 327-342, 2022. |
| Adjacency energy of hypergraphs |
Kauê Cardoso,
Renata Del-Vecchio, and Lucas Portugal |
Linear Algebra and its Applications, Volume 648, Pages 181-204, 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, Pages 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, Pages 2641-2656, 2021. |
| Characterizing threshold graphs with k main signless Laplacian eigenvalues |
Cybele T.M.Vinagrea, Johann Bolckau, and Rodrigo Chimellia |
Linear Algebra and its Applications Volume 602, Pages 33-45, 2020. |
| Null decomposition of unicyclic graphs |
Luiz Emilio Allem, Daniel Jaume, Gonzalo Molina, and Maikon M. Toledo |
Discrete Applied Mathematics Volume 285, Pages 594 - 611 , 2020. |
| Efficient diagonalization of symmetric matrices associated with graphs of small tree-width |
Martin Furer,
Carlos Hoppen |
47th ICALP 2020 - International Colloquium on Automata, Languages, and Programming
Ed.: A. Czumaj, A. Dawar, and E. Merelli; Article No. 52; Pages 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, Pages 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, Pages 607-220, 2020 |
| Spectral radius ordering of starlike trees |
Elismar Oliveira ,
Dragan Stevanovic |
Linear and Multilinear Algebra,
Volume 68, 2020 - Issue 5,991-1000, 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, Pages 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, Pages 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 , Pages 27-42. |
| Eigenvalue location in cographs |
David Jacobs, and Fernando C. Tura |
Discrete Applied Mathematics, vol. 245,
Pages 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, Pages 475–489, 2018 |
| Maximality of the signless Laplacian energy |
Lucélia Kowalski Pinheiro |
Discrete Mathematics, vol. 341, Pages 33-41, 2018. |
| Laplacian distribution and domination |
David Jacobs, and
Domingos Cardoso |
Graphs and Combinatorics,
v. 33, Pages 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, Pages 2079–2085, 2017. |
| Locating eigenvalues of unicyclic graphs |
Rodrigo Orsini Braga, and Virgìnia Maria Rodrigues |
Applicable Analysis and Discrete Mathematics, v. 11, Pages 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, Pages 297-302, 2017. |
| Complementary eigenvalues of graphs |
Rafael Fernandes and Joaquim Judice |
Linear Algebra and
Its Applications Vol 527, Pages 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, Pages 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, Pages 95-104, 2017.
|
| Maximal Laplacian energy of unicyclci graphs |
Kinkar C. Das, Eliseu Fritscher, and Lucélia K. Pinheiro |
Discrete Applied Mathematics,
Vol. 218, Pages 71-81, 2017. |
| Spectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energy |
Christoph Helmberg |
Linear Algebra
and its Applications, Vol. 512, Pages 18-31, 2017. |
| A Fiedler-like theory for the perturbed Laplacian |
Israel Rocha |
Czechoslovak Mathematical Journal, Vol. 66 (141), Pages 717-735, 2016
|
| Exploring symmetries to decompose matrices and graphs preserving the spectrum |
Eliseu Fritscher |
SIAM Journal on Matrix Analysis and Applications,
Vol. 37, Pages 260-289, 2016.
|
| Distribution of Laplacian eigenvalues of graphs |
Kinkar C. Das, and Seyed Ahmad Mojallal |
Linear Algebra and its Applications, Vol. 508, Pages 48-61, 2016. |
| Some spectral properties of cographs |
Ali Mohammadian |
Discrete Mathematics, Volume 339,
Issue 4, Pages 1261–1264, 2016. |
| Domination Number and Laplacian Eigenvalue Distribution |
Stephen Hedetniemi, and
David Jacobs |
European Journal of Combinatorics, Vol. 53, Pages 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, Pages 343-353, 2016.
|
| Algebraic connectivity of k-connected graphs |
Stephen Kirkland, and Israel Rocha |
Czechoslovak Mathematical Journal,
Vol. 65 (140), Pages218-236, 2015. |
| Threshold Graphs of Maximal Laplacian Energy |
Christoph Helmberg |
Discrete Mathematics,
Vol 338, Pages 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, Pages 615–635, 2015. |
| Eigenvalues and energy in threshold graphs |
David Jacobs, and Fernando C. Tura |
Linear Algebra and its Applications,
Vol. 465, Pages 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, Pages 709-719, 2014. |
| Bounding the sum of the largest Laplacian eigenvalues of graphs |
Israel Rocha |
Discrete Applied Mathematics,
Vol. 170, Pages 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, Pages 429–453, 2014 |
| Unicyclic graphs with equal Laplacian energy |
Eliseu Fritscher, and
Carlos Hoppen |
Linear and Multilinear Algebra,
Vol. 62, Pages 180-194, 2014. |
| Characterizing trees with large Laplacian energy |
Eliseu Fritscher,
Carlos Hoppen, and Israel Rocha |
Linear Algebra and its Application, Vol. 442, Pages 20-49, 2014. |
| Locating the eigenvalues of threshold graphs |
David Jacobs, and Fernando Tura |
Linear Algebra and its
Application, Vol. 439 (10), Pages 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), Pages 1479-1495, 2013. |
| On the distribuition of Laplacian eigenvalues of trees |
Rodrigo O. Braga, and Virgìnia M. Rodrigues |
Discrete Mathematics,
Vol. 313 (21), Pages 2382-2389, 2013. |
| Extracting sparse factors of multivariate integral polynomials |
Luis Emilio Allem, and Shuhong Gao |
Journal of Symbolic Computation, Vol. 52, Pages 3-16, 2013. |
| Computing the Laplacian spectra of some graphs |
Domingos Cardoso,
Enide Andrade Martins , and María Robbiano |
Discrete Applied Mathematics, Vol. 160, Pages 645-2654, 2012 |
| Resultant of Chebyshev polynomials |
David Jacobs, and Mohamed Rayes |
Canadian Mathematical Bulletin, Vol. 54, n. 2, Pages 288 - 296, 2011. |
| gcd of multivariate polynomials via Newton polytopes |
Luis Emilio Allem |
Applied Mathematics and Computation, Vol. 217, n. 21, Pages 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, Pages 371–399, 2011. |
| Algebraic connectivity on a subclass of caterpillars |
Oscar Rojo, and Israel Rocha |
LAGOS 2011,
Electronic Notes in Discrete Mathematics, Volume 37, Pages 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 Pages 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, Pages 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, Pages 77-80, 2011. |
| Applications of recurrence relations for the characteristic
polynomials of Bethe trees |
María Robbiano |
Computers and Mathematics with Applications, Vol. 59, Pages 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, Pages 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, Pages 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, Pages 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, Pages 169-176, 2008. |
| Characterization of Chebyshev numbers |
David Jacobs and
Mohamed Rayes |
Algebra and Discrete Mathematics, Vol. 7, n.2, Pages 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, Pages 347-362, 2008. |
| Primality from factorization properties of Chebyshev polynomials |
Mohamed Rayes |
JP Journal of
Algebra Number Theory and Applications, Vol. 6, n. 3, Pages 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, Pages 349-356, 2006. |
| Factorization properties of Chebyshev polynomials |
Mohamed Rayes and
Paul Wang |
Computers and Mathematics with Applications, Vol. 50, n. 8, Pages 1231-1241, 2005. |
| A modular integer GCD algorithm |
Kenneth Weber and
L. Felipe Martins |
Journal of Algorithms, Vol. 54, n. 2, Pages 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, Pages 213-221, 2005. |
| Testing the converse of Wolstenholme's theorem |
Kenneth Weber |
Matematica Contemporanea, Vol. 21, Pages 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, Pages 95-105, 2000. |
| Linear-time LUP decomposition of forest-like matrices |
David Jacobs
|
Computers and Mathematics with Applications, Vol. 37, Pages 37-50, 1999. |
| Rational representation of modular numbers |
Peter Hintenaus |
Matematica Contemporanea, Vol. 16, Pages 117-128, 1999. |
| Constructing the characteristic polynomial of a tree's adjacency matrix |
David Jacobs |
Congressus Numerantium, Vol. 134, Pages 139-145, 1998. |
| The determinant of a tree's neighborhood matrix |
David Jacobs |
Linear Algebra and its Applications, Vol. 256, Pages 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, Pages 34-44, 1996. |
| The composite character Of the twenty-second Fermat number. |
João Carvalho
|
The Journal of Supercomputing, Vol. 9, n. 1, Pages 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, Pages 93-113, 1995. |
| Polynomial factorization |
- |
Matematica Contemporanea, Vol. 7, Pages 185-198, 1994. |
| Polynomial Factorization: sharp bounds, efficient algorithms |
Bernard Beauzamy, and Paul Wang |
Journal of Symbolic Computation, Vol. 15, n. 4, Pages 391-414, 1993. |
| Methods for approximating the Mahler measure |
- |
Boletim da SBMAC - Série II, Vol. 3, n. 1, Pages 29-36, 1992. |
| Practical factorization of univariate polynomial factorization over
finite fields |
Paul Wang |
Proceedings of ISSAC, Bonn Pages 22-32, 1991. |
| Computação algébrica e simbólica |
- |
Boletim da SBMAC , Série II, Vol. 2, n. 2, Pages 1-18, 1991. |
| Recognition of Hurwitz polynomials |
- |
SIGSAM Bulletin , Vol. 24, n. 4, Pages 26-32, 1990. |