Submitted
- Zero-freeness of a multivariate monomer-dimer-cycle polynomial on bounded-degree graphs
G. Coutinho, P. M. S. Fialho.
- Orthogonal polynomials, quantum walks and the Prouhet–Tarry–Escott problem
F. Cançado, G. Coutinho, T. J. Spier.
- A graph energy conjecture through the lenses of semidefinite programming
A. Abiad, G. Coutinho, E. Juliano, L. Reijnders.
- Peak state transfer in continuous quantum walks
G. Coutinho, K. Guo, V. Schmeits.
- Semidefinite programming bounds on fractional cut-cover and maximum 2-SAT for highly regular graphs
H. Assumpção, G. Coutinho.
- Quotient graphs and stochastic matrices
F. Cançado, G. Coutinho.
- Conic programming to understand sums of squares of eigenvalues of graphs
G. Coutinho, T. J. Spier, S. Zhang.
- An eigenvalue bound for the fractional chromatic number
M. K. Silva, G. Coutinho, R. Grandsire.
- On the independent set polynomial of graphs and claw-free graphs
Paula M. S. Fialho, Aldo Procacci.
2026
- Computing fixed point free automorphisms of graphs/em>
A. Abiad, G. Coutinho, E. Juliano, V. F. dos Santos, S. Zeijlemaker
Accepted to LATIN 2026.
2025
- A mathematical foundation for self-testing: Lifting common assumptions
P. Baptista, R. Chen, J. Kaniewski, D. R. Lolck, L. Mančinska, T. G. Nielsen, S. Schmidt.
Annales Henri Poincaré 2025.
- On the zero-free region for the chromatic polynomial of graphs with maximum degree Δ and girth g
P. M. S. Fialho, E. Juliano, A. Procacci.
Discrete Mathematics 2025.
- Unsupervised Hierarchical Sequence Stratigraphy Framework of Carbonate Successions
M. V. S. Dantas, K. H. M. Vieira, T. J. Spier, J. A. O. Santos, A. C. T. Prado, D. Vomlel, M. Leite, F. A. F. Rias, D. G. C. Fragoso, H. Reis, G. Coutinho, D. G. Macharet.
Artificial Inteligence in Geosciences 2025.
- Quantum Sabidussi's Theorem
A. S. Árnadóttir, J. van Dobben de Bruyn, P. N. Kar, D. E. Roberson, P. Zeman.
Journal of the London Mathematical Society 2025.
- A remark on the Whitney Broken Circuit Theorem
P. M. S. Fialho, E. Juliano, A. Procacci.
Computational and Applied Mathematics 2025.
- A connection between the Aα-spectrum and the Lovász theta number
G. Coutinho, T. Oliveira.
Linear Algebra and Its Applications 2025.
- The spectrum of symmetric decorated paths
G. Coutinho, E. Juliano, T. J. Spier.
Linear Algebra and Its Applications 2025.
2024
- Matching (Multi)Cut: Algorithms, Complexity, and Enumeration.
G. C. M. Gomes, E. Juliano, G. Martins, V. F. dos Santos.
IPEC 2024.
- Spectral upper bounds for the Grundy number of a graph
T. Assis, G. Coutinho, E. Juliano.
Discrete Mathematics 2024.
- Selected Open Problems in Continuous-Time Quantum Walks
G. Coutinho, K. Guo.
Special Matrices 2024.
- Unexpected Averages of Mixing Matrices
P. Baptista, G. Coutinho, V. Marques.
Quantum Information Processing 2024.
- No perfect state transfer in trees with more than 3 vertices
G. Coutinho, E. Juliano, T. J. Spier.
Journal of Combinatorial Theory Series B 2024.
2023
- Constructing high-resolution stratigraphic frameworks by the application of signal analysis techniques: Example of Balbuena IV Sequence, Yacoraite Formation, Salta Basin.
J. A. O. Santos, A. Uhlein, M. V. S. Dantas, G. Coutinho, T. J. Spier, K. H. M. Vieira, A. C. T. Prado, D. Macharet, G. J. Uhlein, T. Novo, H. Reis, F. A. Farias, E. B. Freire, D. G. C. Fragoso.
Marine and Petroleum Geology 2023.
- Quantum Walks in the Normalized Laplacian
G. Coutinho, P. F. Baptista.
Linear and Multilinear Algebra 2023.
- Irrational quantum walks
G. Coutinho, P. F. Baptista, C. Godsil, T. J. Spier, R. Werner.
SIAM Journal of Applied Algebra and Geometry 2023.
- Strong cospectrality in trees
G. Coutinho, E. Juliano, T. J. Spier.
Algebraic Combinatorics 2023.
- Why and how to add direction to a quantum walk
R. Chaves, B. O. Chagas, G. Coutinho.
Quantum Information Processing 2023.
2022
- A novel reconstruction attack on foreign-trade official statistics, with a Brazilian case study
D. F. Favato, G. Coutinho, M. S. Alvim, N. Fernandes.
PoPETS 2022.
- Fundamentals of fractional revival in graphs
A. Chan, G. Coutinho, W. Drazen, O. Eisenberg, C. Godsil, M. Kempton, G. Lippner, C. Tamon, H. Zhan.
Linear Algebra and Its Applications 2022.
- Quantum walks do not like bridges
G. Coutinho, C. Godsil, E. Juliano, C. M. van Bommel.
Linear Algebra and Its Applications 2022.
- Optimization of eigenvalue bounds for the independence and chromatic number of graph powers
A. Abiad, G. Coutinho, M. A. Fiol, B. D. Nogueira, S. Zeijlemaker.
Discrete Mathematics 2022.
2021
2020
2019
- Perfect state transfer in a spin chain without mirror symmetry
G. Coutinho, L. Vinet, H. Zhan, A. Zhedanov.
Journal of Physics A: Mathematical and Theoretical 2019.
- Quantum walks and the size of the graph
G. Coutinho.
Discrete Mathematics 2019.
- On the k-independence number of graphs
A. Abiad, G. Coutinho, M. A. Fiol.
Discrete Mathematics 2019.
- Quantum fractional revival on graphs
A. Chan, G. Coutinho, C. Tamon, L. Vinet, H. Zhan.
Discrete Applied Mathematics 2019.
- Colouring the normalized Laplacian
G. Coutinho, R. Grandsire, C. Passos.
LAGOS 2019.
- Algebras, graphs and thetas
M. K. de Carli Silva, G. Coutinho, C. Godsil, D. E. Roberson.
LAGOS 2019.
- Discretization of continuous-time quantum walks via the staggered model with Hamiltonians
G. Coutinho, R. Portugal.
Natural Computing 2019.
- Continuous-Time Quantum Walks in Graphs
G. Coutinho, C. Godsil.
IMAGE - The Bulletin of the International Linear Algebra Society
2018
2017
2016
2015