- 42. Orthogonal polynomials, quantum walks and the Prouhet–Tarry–Escott problem
F Cançado, G Coutinho, TJ Spier.
Submitted. - 41. A graph energy conjecture through the lenses of semidefinite programming
A Abiad, G Coutinho, E Juliano, L Reijnders.
Submitted. - 40. Peak state transfer in continuous quantum walks
G Coutinho, K Guo, V Schmeits.
Submitted. - 39. Semidefinite programming bounds on fractional cut-cover and maximum 2-SAT for highly regular graphs
H Assumpção, G Coutinho.
Submitted. - 38. Quotient graphs and stochastic matrices
F Cançado, G Coutinho.
Submitted. - 37. Unsupervised Hierarchical Sequence Stratigraphy Framework of Carbonate Successions
MVS Dantas, KHM Vieira, TJ Spier, JAO Santos, ACT Prado, D Vomlel, M Leite, FA Farias, DGC Fragoso, H Reis, G Coutinho, DG Macharet.
Artificial Inteligence in Geosciences 2025. - 36. Conic programming to understand sums of squares of eigenvalues of graphs
G Coutinho, TJ Spier, S Zhang.
Submitted.
(this paper heavily supersedes the earlier preprint by Thomás and I)
- 35. An eigenvalue bound for the fractional chromatic number
MK Silva, G Coutinho, R Grandsire.
Submitted. - 34. A connection between the Aα-spectrum and the Lovász theta number
G Coutinho, T Oliveira.
Linear Algebra and Its Applications 2025. - 33. The spectrum of symmetric decorated paths
G Coutinho, E Juliano, TJ Spier.
Linear Algebra and Its Applications 2025. - 32. Spectral upper bounds for the Grundy number of a graph
T Assis, G Coutinho, E Juliano.
Discrete Mathematics 2024. - 31. Selected Open Problems in Continuous-Time Quantum Walks
G Coutinho, K Guo.
Special Matrices 2024. - 30. Unexpected Averages of Mixing Matrices
P Baptista, G Coutinho, V Marques.
Quantum Information Processing 2024. - 29. No perfect state transfer in trees with more than 3 vertices
G Coutinho, E Juliano, TJ Spier.
Journal of Combinatorial Theory Series B 2024. - 28. Constructing high-resolution stratigraphic frameworks by the application of signal analysis techniques: Example of Balbuena IV Sequence, Yacoraite Formation, Salta Basin.
JAO Santos, A Uhlein, MVS Dantas, G Coutinho, TJ Spier, KHM Vieira, ACT Prado, D Macharet, GJ Uhlein, T Novo, H Reis, FA Farias, EB Freire, DGC Fragoso.
Marine and Petroleum Geology 2023. - 27. Quantum Walks in the Normalized Laplacian
G Coutinho, PF Baptista.
Linear and Multilinear Algebra 2023. - 26. Irrational quantum walks
G Coutinho, PF Baptista, C Godsil, TJ Spier, R Werner.
SIAM Journal of Applied Algebra and Geometry 2023. - 25. Strong cospectrality in trees
G Coutinho, E Juliano, TJ Spier.
Algebraic Combinatorics 2023. - 24. Why and how to add direction to a quantum walk
R Chaves, BO Chagas, G Coutinho.
Quantum Information Processing 2023. - 23. A novel reconstruction attack on foreign-trade official statistics, with a Brazilian case study
DF Favato, G Coutinho, MS Alvim, N Fernandes.
PoPETS 2022. - 22. 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. - 21. Quantum walks do not like bridges
G Coutinho, C Godsil, E Juliano, CM van Bommel.
Linear Algebra and Its Applications 2022. - 20. Optimization of eigenvalue bounds for the independence and chromatic number of graph powers
A Abiad, G Coutinho, MA Fiol, BD Nogueira, S Zeijlemaker.
Discrete Mathematics 2022 - 19. Dual Hoffman Bounds for the Stability and Chromatic Numbers Based on Semidefinite Programming
NB Proença, MK de Carli Silva, G Coutinho.
SIAM Journal on Discrete Mathematics 2021 - 18. Fractional revival and association schemes
A Chan, G Coutinho, C Tamon, L Vinet, H Zhan.
Discrete Mathematics 2020. - 17. 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. - 16. Quantum walks and the size of the graph
G Coutinho.
Discrete Mathematics 2019. - 15. On the k-independence number of graphs
A Abiad, G Coutinho, MA Fiol.
Discrete Mathematics 2019. - 14. Quantum fractional revival on graphs
A Chan, G Coutinho, C Tamon, L Vinet, H Zhan.
Discrete Applied Mathematics 2019. - 13. Colouring the normalized Laplacian
G Coutinho, R Grandsire, C Passos.
LAGOS 2019. - 12. Algebras, graphs and thetas
MK de Carli Silva, G Coutinho, C Godsil, DE Roberson.
LAGOS 2019. - 11. Discretization of continuous-time quantum walks via the staggered model with Hamiltonians
G Coutinho, R Portugal.
Natural Computing 2019. - 10. Continuous-Time Quantum Walks in Graphs
G Coutinho, C Godsil
IMAGE - The Bulletin of the International Linear Algebra Society (page 12)
- 9. A New Perspective on the Average Mixing Matrix
G Coutinho, C Godsil, K Guo, H Zhan.
The Electronic Journal of Combinatorics 2018. - 8. Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian
L Banchi, G Coutinho, C Godsil, S Severini.
Journal of Mathematical Physics 2017. - 7. Perfect state transfer is poly-time
G Coutinho, C Godsil.
Quantum Information & Computation 2017. - 6. Pretty good state transfer between internal nodes of paths
G Coutinho, K Guo, CM van Bommel.
Quantum Information & Computation 2017. - 5. Spectrally extremal vertices, strong cospectrality, and state transfer
G Coutinho.
The Electronic Journal of Combinatorics 2016. - 4. Perfect state transfer in products and covers of graphs
G Coutinho, C Godsil.
Linear and Multilinear Algebra 2016. - 3. Equiangular Lines and Covers of the Complete Graph
G Coutinho, C Godsil, M Shirazi, H Zhan.
Linear Algebra and Its Applications 2016. - 2. No Laplacian Perfect State Transfer in Trees
G Coutinho, H Liu.
SIAM Journal of Discrete Mathematics 2015. - 1. Perfect state transfer on distance-regular graphs and association schemes
G Coutinho, C Godsil, K Guo, F Vanhove.
Linear Algebra and Its Applications 2015.
Collaborators by order of first appearance:
Chris Godsil (11)
Krystal Guo (5)
Frederic Vanhove (1)
Henry Liu (1)
Mirhamed Shirazi (1)
Harmony Zhan (6)
Christopher van Bommel (2)
Leonardo Banchi (1)
Simone Severini (1)
Renato Portugal (1)
Marcel Kenji de Carli Silva (3)
David E. Roberson (1)
Rafael Grandsire (2)
Célio Passos (1)
Ada Chan (3)
Christino Tamon (3)
Luc Vinet (3)
Alexei Zhedanov (1)
Nathan B. Proença (1)
Aida Abiad (3)
Miquel Àngel Fiol (2)
Bruno D. Nogueira (1)
Sjanne Zeijlemaker (1)
Emanuel Juliano (6)
Whitney Drazen (1)
Or Eisenberg (1)
Mark Kempton (1)
Gabor Lippner (1)
Danilo F. Favato (1)
Mário Sério Alvim (1)
Natasha Fernandes (1)
Rodrigo Chaves (1)
Bruno O. Chagas (1)
Thomás Jung Spier (8)
Reinhard Werner (1)
Pedro F. Baptista (3)
José Arthur Oliveira Santos (2)
Alexandre Uhlein (1)
Márcio Dantas (2)
Kaio Masse Vieira (2)
Alan Cabral Trindade Prado (2)
Douglas Macharet (2)
Gabriel Jubé Uhlein (1)
Tiago Novo (1)
Humberto Reis (2)
Felipe Alves Farias (2)
Ednilson Bento Freire (1)
Daniel Galvão Carnier Fragoso (2)
Mariana Leite (1)
Danilo Vomlel (1)
Vitor Marques (1)
Thiago Oliveira (1)
Thiago Assis (1)
Shengtong Zhang (1)
Frederico Cançado (2)
Henrique Assumpção (1)
Vincent Schmeits (1)
Luuk Reijnders (1)
