@article{a-connection-between-the-a-spectrum-and-the-lovasz-theta-number,
  title = {{A connection between the Aα-spectrum and the Lovász theta number}},
  author = {G Coutinho and T Oliveira},
  year = {2025},
  journal = {Linear Algebra and Its Applications 2025},
  eprint = {2311.14884},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0024379525001570}
}

@misc{a-graph-energy-conjecture-through-the-lenses-of-semidefinite-programming,
  title = {{A graph energy conjecture through the lenses of semidefinite programming}},
  author = {A Abiad and G Coutinho and E Juliano and H. Reijnders},
  year = {2026},
  journal = {SIAM Journal on Optimization},
  eprint = {2509.05814},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2509.05814},
  note = {Accepted for publication}
}

@misc{a-lifted-entropy-splitting-lemma-and-applications,
  title = {{A lifted entropy splitting lemma and applications}},
  author = {G Coutinho and L Higino},
  year = {2026},
  eprint = {2610.40145},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.40145},
  note = {Preprint}
}

@misc{a-lovasz-theta-parameter-and-theta-body-for-signed-graphs,
  title = {{A Lovász Theta Parameter and Theta Body for Signed Graphs}},
  author = {G Coutinho},
  year = {2026},
  eprint = {2608.01716},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.01716},
  note = {Preprint}
}

@article{a-new-perspective-on-the-average-mixing-matrix,
  title = {{A New Perspective on the Average Mixing Matrix}},
  author = {G Coutinho and C Godsil and K Guo and H Zhan},
  year = {2018},
  journal = {The Electronic Journal of Combinatorics 2018},
  eprint = {1709.03591},
  archivePrefix = {arXiv},
  url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i4p14}
}

@article{a-novel-reconstruction-attack-on-foreign-trade-official-statistics-with-a-brazilian-case-study,
  title = {{A novel reconstruction attack on foreign-trade official statistics, with a Brazilian case study}},
  author = {DF Favato and G Coutinho and MS Alvim and N Fernandes},
  year = {2022},
  journal = {PoPETS 2022},
  eprint = {2206.06493},
  archivePrefix = {arXiv},
  url = {https://petsymposium.org/popets/2022/popets-2022-0124.php}
}

@misc{a-swap-free-framework-for-qaoa,
  title = {{A SWAP-free Framework for QAOA}},
  author = {T Assis and P Baptista and L Lopes and D Ferreira and G Coutinho},
  year = {2026},
  eprint = {2604.25058},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.25058},
  note = {Preprint}
}

@inproceedings{algebras-graphs-and-thetas,
  title = {{Algebras, graphs and thetas}},
  author = {MK de Carli Silva and G Coutinho and C Godsil and DE Roberson},
  year = {2019},
  booktitle = {LAGOS 2019},
  eprint = {1910.06260},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/pii/S1571066119300751}
}

@article{an-eigenvalue-bound-for-the-fractional-chromatic-number,
  title = {{Two chromatic numbers, eigenvalues and a generalized Lovász theta}},
  author = {MK Silva and G Coutinho and R Grandsire},
  year = {2026},
  journal = {Special Matrices 14(1), 20250060 (2026)},
  doi = {10.1515/spma-2025-0060},
  eprint = {2106.11121},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.1515/spma-2025-0060}
}

@misc{clique-and-chromatic-numbers-of-graph-powers-spectral-bounds-and-anticodes,
  title = {{Clique and chromatic numbers of graph powers: spectral bounds and anticodes}},
  author = {A Abiad and G Coutinho and H Kumar and E Juliano and M Tait},
  year = {2026},
  eprint = {2610.13852},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13852},
  note = {Preprint}
}

@inproceedings{colouring-the-normalized-laplacian,
  title = {{Colouring the normalized Laplacian}},
  author = {G Coutinho and R Grandsire and C Passos},
  year = {2019},
  booktitle = {LAGOS 2019},
  eprint = {1910.06947},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/pii/S1571066119300817}
}

@misc{compact-graphs-and-quantum-automorphisms,
  title = {{Compact graphs and quantum automorphisms}},
  author = {P Baptista and G Coutinho and C Godsil and S Schmidt},
  year = {2026},
  eprint = {2606.13928},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.13928},
  note = {Preprint}
}

@misc{computing-fixed-point-free-automorphisms-of-graphs,
  title = {{Computing fixed point free automorphisms of graphs}},
  author = {A Abiad and G Coutinho and E Juliano and V dos Santos and S Zeijlemaker},
  year = {2026},
  journal = {LATIN 2026},
  eprint = {2603.26006},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2603.26006},
  note = {Accepted for publication}
}

@misc{conic-programming-to-understand-sums-of-squares-of-eigenvalues-of-graphs,
  title = {{Conic programming to understand sums of squares of eigenvalues of graphs}},
  author = {G Coutinho and TJ Spier and S Zhang},
  year = {2024},
  eprint = {2411.08184},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2411.08184},
  note = {Preprint}
}

@article{constructing-high-resolution-stratigraphic-frameworks-by-the-application-of-signal-analysis-techniques-example,
  title = {{Constructing high-resolution stratigraphic frameworks by the application of signal analysis techniques: Example of Balbuena IV Sequence, Yacoraite Formation, Salta Basin}},
  author = {JAO Santos and A Uhlein and MVS Dantas and G Coutinho and TJ Spier and KHM Vieira and ACT Prado and D Macharet and GJ Uhlein and T Novo and H Reis and FA Farias and EB Freire and DGC Fragoso},
  year = {2023},
  journal = {Marine and Petroleum Geology 2023},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0264817223003768}
}

@article{continuous-time-quantum-walks-in-graphs,
  title = {{Continuous-Time Quantum Walks in Graphs}},
  author = {G Coutinho and C Godsil},
  year = {2018},
  journal = {IMAGE — The Bulletin of the International Linear Algebra Society 60 (2018), 12–21},
  url = {https://31g343.p3cdn1.secureserver.net/wp-content/uploads/IMAGE/image60.pdf}
}

@article{discretization-of-continuous-time-quantum-walks-via-the-staggered-model-with-hamiltonians,
  title = {{Discretization of continuous-time quantum walks via the staggered model with Hamiltonians}},
  author = {G Coutinho and R Portugal},
  year = {2019},
  journal = {Natural Computing 2019},
  doi = {10.1007/s11047-018-9688-8},
  eprint = {1701.03423},
  archivePrefix = {arXiv},
  url = {https://link.springer.com/article/10.1007/s11047-018-9688-8}
}

@article{dual-hoffman-bounds-for-the-stability-and-chromatic-numbers-based-on-semidefinite-programming,
  title = {{Dual Hoffman Bounds for the Stability and Chromatic Numbers Based on Semidefinite Programming}},
  author = {NB Proença and MK de Carli Silva and G Coutinho},
  year = {2021},
  journal = {SIAM Journal on Discrete Mathematics 2021},
  doi = {10.1137/19M1306427},
  eprint = {1910.05586},
  archivePrefix = {arXiv},
  url = {https://epubs.siam.org/doi/abs/10.1137/19M1306427}
}

@article{equiangular-lines-and-covers-of-the-complete-graph,
  title = {{Equiangular Lines and Covers of the Complete Graph}},
  author = {G Coutinho and C Godsil and M Shirazi and H Zhan},
  year = {2016},
  journal = {Linear Algebra and Its Applications 2016},
  eprint = {1504.00085},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/pii/S0024379515005443}
}

@article{fractional-revival-and-association-schemes,
  title = {{Fractional revival and association schemes}},
  author = {A Chan and G Coutinho and C Tamon and L Vinet and H Zhan},
  year = {2020},
  journal = {Discrete Mathematics 2020},
  eprint = {1907.04729},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0012365X20302041}
}

@article{fundamentals-of-fractional-revival-in-graphs,
  title = {{Fundamentals of fractional revival in graphs}},
  author = {A Chan and G Coutinho and W Drazen and O Eisenberg and C Godsil and M Kempton and G Lippner and C Tamon and H Zhan},
  year = {2022},
  journal = {Linear Algebra and its Applications 655 (2022), 129–158},
  doi = {10.1016/j.laa.2022.09.010},
  eprint = {2004.01129},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0024379522003287}
}

@article{irrational-quantum-walks,
  title = {{Irrational quantum walks}},
  author = {G Coutinho and PF Baptista and C Godsil and TJ Spier and R Werner},
  year = {2023},
  journal = {SIAM Journal of Applied Algebra and Geometry 2023},
  doi = {10.1137/22M1521262},
  eprint = {2208.08971},
  archivePrefix = {arXiv},
  url = {https://epubs.siam.org/doi/abs/10.1137/22M1521262?journalCode=sjaabq}
}

@article{no-laplacian-perfect-state-transfer-in-trees,
  title = {{No Laplacian Perfect State Transfer in Trees}},
  author = {G Coutinho and H Liu},
  year = {2015},
  journal = {SIAM Journal of Discrete Mathematics 2015},
  doi = {10.1137/140989510},
  eprint = {1408.2935},
  archivePrefix = {arXiv},
  url = {https://epubs.siam.org/doi/abs/10.1137/140989510}
}

@article{no-perfect-state-transfer-in-trees-with-more-than-3-vertices,
  title = {{No perfect state transfer in trees with more than 3 vertices}},
  author = {G Coutinho and E Juliano and TJ Spier},
  year = {2024},
  journal = {Journal of Combinatorial Theory Series B 2024},
  doi = {10.1016/j.jctb.2024.04.004},
  eprint = {2305.10199},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.1016/j.jctb.2024.04.004}
}

@misc{on-some-k-fold-generalizations-of-lovasz-theta-and-their-sandwich-theorems,
  title = {{On some k-fold generalizations of Lovász theta and their sandwich theorems}},
  author = {MKC Silva and G Coutinho and T Oliveira and L Tunçel},
  year = {2026},
  eprint = {2609.06312},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06312},
  note = {Preprint}
}

@article{on-the-k-independence-number-of-graphs,
  title = {{On the k-independence number of graphs}},
  author = {A Abiad and G Coutinho and MA Fiol},
  year = {2019},
  journal = {Discrete Mathematics 2019},
  eprint = {1803.07042},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0012365X19300275}
}

@article{optimization-of-eigenvalue-bounds-for-the-independence-and-chromatic-number-of-graph-powers,
  title = {{Optimization of eigenvalue bounds for the independence and chromatic number of graph powers}},
  author = {A Abiad and G Coutinho and MA Fiol and BD Nogueira and S Zeijlemaker},
  year = {2022},
  journal = {Discrete Mathematics 2022},
  eprint = {2010.12649},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/pii/S0012365X21004192}
}

@misc{orthogonal-polynomials-quantum-walks-and-the-prouhettarryescott-problem,
  title = {{Orthogonal polynomials, quantum walks and the Prouhet–Tarry–Escott problem}},
  author = {F Cançado and G Coutinho and TJ Spier},
  year = {2025},
  eprint = {2509.09948},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2509.09948},
  note = {Preprint}
}

@misc{peak-state-transfer-in-continuous-quantum-walks,
  title = {{Peak state transfer in continuous quantum walks}},
  author = {G Coutinho and K Guo and V Schmeits},
  year = {2025},
  eprint = {2505.11986},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2505.11986},
  note = {Preprint}
}

@article{perfect-state-transfer-in-a-spin-chain-without-mirror-symmetry,
  title = {{Perfect state transfer in a spin chain without mirror symmetry}},
  author = {G Coutinho and L Vinet and H Zhan and A Zhedanov},
  year = {2019},
  journal = {Journal of Physics A: Mathematical and Theoretical 2019},
  doi = {10.1088/1751-8121/ab476e},
  eprint = {1903.04707},
  archivePrefix = {arXiv},
  url = {https://iopscience.iop.org/article/10.1088/1751-8121/ab476e/meta}
}

@article{perfect-state-transfer-in-products-and-covers-of-graphs,
  title = {{Perfect state transfer in products and covers of graphs}},
  author = {G Coutinho and C Godsil},
  year = {2016},
  journal = {Linear and Multilinear Algebra 2016},
  doi = {10.1080/03081087.2015.1033381},
  eprint = {1501.04396},
  archivePrefix = {arXiv},
  url = {https://www.tandfonline.com/doi/abs/10.1080/03081087.2015.1033381}
}

@article{perfect-state-transfer-is-poly-time,
  title = {{Perfect state transfer is poly-time}},
  author = {G Coutinho and C Godsil},
  year = {2017},
  journal = {Quantum Information & Computation 2017},
  eprint = {1606.02264},
  archivePrefix = {arXiv},
  url = {https://www.rintonpress.com/journals/qiconline.html#v17n56}
}

@article{perfect-state-transfer-on-distance-regular-graphs-and-association-schemes,
  title = {{Perfect state transfer on distance-regular graphs and association schemes}},
  author = {G Coutinho and C Godsil and K Guo and F Vanhove},
  year = {2015},
  journal = {Linear Algebra and its Applications 478 (2015), 108–130},
  doi = {10.1016/j.laa.2015.03.024},
  eprint = {1401.1745},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/pii/S0024379515001883}
}

@article{pretty-good-state-transfer-between-internal-nodes-of-paths,
  title = {{Pretty good state transfer between internal nodes of paths}},
  author = {G Coutinho and K Guo and CM van Bommel},
  year = {2017},
  journal = {Quantum Information & Computation 2017},
  doi = {10.26421/QIC17.9-10-5},
  eprint = {1611.09836},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.26421/QIC17.9-10-5}
}

@article{pretty-good-state-transfer-in-qubit-chainsthe-heisenberg-hamiltonian,
  title = {{Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian}},
  author = {L Banchi and G Coutinho and C Godsil and S Severini},
  year = {2017},
  journal = {Journal of Mathematical Physics 2017},
  doi = {10.1063/1.4978327},
  eprint = {1608.04722},
  archivePrefix = {arXiv},
  url = {https://aip.scitation.org/doi/abs/10.1063/1.4978327}
}

@article{quantum-fractional-revival-on-graphs,
  title = {{Quantum fractional revival on graphs}},
  author = {A Chan and G Coutinho and C Tamon and L Vinet and H Zhan},
  year = {2019},
  journal = {Discrete Applied Mathematics 2019},
  eprint = {1801.09654},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0166218X18306607}
}

@article{quantum-walks-and-the-size-of-the-graph,
  title = {{Quantum walks and the size of the graph}},
  author = {G Coutinho},
  year = {2019},
  journal = {Discrete Mathematics 2019},
  eprint = {1802.08734},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0012365X1830116X}
}

@article{quantum-walks-do-not-like-bridges,
  title = {{Quantum walks do not like bridges}},
  author = {G Coutinho and C Godsil and E Juliano and CM van Bommel},
  year = {2022},
  journal = {Linear Algebra and Its Applications 2022},
  eprint = {2112.03374},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0024379522002671}
}

@article{quantum-walks-in-the-normalized-laplacian,
  title = {{Quantum Walks in the Normalized Laplacian}},
  author = {G Coutinho and PF Baptista},
  year = {2023},
  journal = {Linear and Multilinear Algebra 2023},
  doi = {10.1080/03081087.2023.2236282},
  eprint = {2209.04668},
  archivePrefix = {arXiv},
  url = {https://www.tandfonline.com/eprint/F8EBZTIXRR4ZQUQU67A7/full?target=10.1080/03081087.2023.2236282}
}

@misc{quotient-graphs-and-stochastic-matrices,
  title = {{Quotient graphs and stochastic matrices}},
  author = {F Cançado and G Coutinho},
  year = {2024},
  eprint = {2411.09157},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2411.09157},
  note = {Preprint}
}

@article{selected-open-problems-in-continuous-time-quantum-walks,
  title = {{Selected Open Problems in Continuous-Time Quantum Walks}},
  author = {G Coutinho and K Guo},
  year = {2024},
  journal = {Special Matrices 2024},
  doi = {10.1515/spma-2024-0025},
  eprint = {2404.02236},
  archivePrefix = {arXiv},
  url = {https://www.degruyter.com/document/doi/10.1515/spma-2024-0025/html}
}

@article{semidefinite-programming-bounds-on-fractional-cut-cover-and-maximum-2-sat-for-highly-regular-graphs,
  title = {{Semidefinite programming bounds on fractional cut-cover and maximum 2-SAT for highly regular graphs}},
  author = {H Assumpção and G Coutinho},
  year = {2026},
  journal = {Mathematics of Operations Research 2026},
  doi = {10.1287/moor.2025.1044},
  eprint = {2505.10548},
  archivePrefix = {arXiv},
  url = {https://pubsonline.informs.org/doi/10.1287/moor.2025.1044}
}

@article{spectral-upper-bounds-for-the-grundy-number-of-a-graph,
  title = {{Spectral upper bounds for the Grundy number of a graph}},
  author = {T Assis and G Coutinho and E Juliano},
  year = {2025},
  journal = {Discrete Mathematics 348(3), 114326 (2025)},
  doi = {10.1016/j.disc.2024.114326},
  eprint = {2401.03042},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0012365X24004576}
}

@article{spectrally-extremal-vertices-strong-cospectrality-and-state-transfer,
  title = {{Spectrally extremal vertices, strong cospectrality, and state transfer}},
  author = {G Coutinho},
  year = {2016},
  journal = {The Electronic Journal of Combinatorics 2016},
  eprint = {1501.04398},
  archivePrefix = {arXiv},
  url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p46}
}

@article{strong-cospectrality-in-trees,
  title = {{Strong cospectrality in trees}},
  author = {G Coutinho and E Juliano and TJ Spier},
  year = {2023},
  journal = {Algebraic Combinatorics 2023},
  doi = {10.5802/alco.288/},
  eprint = {2206.02995},
  archivePrefix = {arXiv},
  url = {https://alco.centre-mersenne.org/articles/10.5802/alco.288/}
}

@article{the-spectrum-of-symmetric-decorated-paths,
  title = {{The spectrum of symmetric decorated paths}},
  author = {G Coutinho and E Juliano and TJ Spier},
  year = {2025},
  journal = {Linear Algebra and Its Applications 2025},
  eprint = {2305.09406},
  archivePrefix = {arXiv},
  url = {https://www.sciencedirect.com/science/article/abs/pii/S0024379525000618}
}

@misc{total-conformal-rigidity-in-graphs,
  title = {{Total Conformal Rigidity in Graphs}},
  author = {H Assumpção and G Coutinho and C Godsil},
  year = {2026},
  eprint = {2605.08508},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.08508},
  note = {Preprint}
}

@article{unexpected-averages-of-mixing-matrices,
  title = {{Unexpected Averages of Mixing Matrices}},
  author = {P Baptista and G Coutinho and V Marques},
  year = {2024},
  journal = {Quantum Information Processing 2024},
  doi = {10.1007/s11128-024-04480-0},
  eprint = {2308.16378},
  archivePrefix = {arXiv},
  url = {https://link.springer.com/article/10.1007/s11128-024-04480-0}
}

@article{unsupervised-hierarchical-sequence-stratigraphy-framework-of-carbonate-successions,
  title = {{Unsupervised Hierarchical Sequence Stratigraphy Framework of Carbonate Successions}},
  author = {MVS Dantas and KHM Vieira and TJ Spier and JAO Santos and ACT Prado and D Vomlel and M Leite and FA Farias and DGC Fragoso and H Reis and G Coutinho and DG Macharet},
  year = {2025},
  journal = {Artificial Inteligence in Geosciences 2025},
  url = {https://www.sciencedirect.com/science/article/pii/S2666544125000565}
}

@article{why-and-how-to-add-direction-to-a-quantum-walk,
  title = {{Why and how to add direction to a quantum walk}},
  author = {R Chaves and BO Chagas and G Coutinho},
  year = {2023},
  journal = {Quantum Information Processing 2023},
  doi = {10.1007/s11128-022-03746-9},
  eprint = {2203.13857},
  archivePrefix = {arXiv},
  url = {https://link.springer.com/article/10.1007/s11128-022-03746-9}
}

@misc{zero-freeness-of-a-multivariate-monomer-dimer-cycle-polynomial-on-bounded-degree-graphs,
  title = {{Zero-freeness of a multivariate monomer-dimer-cycle polynomial on bounded-degree graphs}},
  author = {G Coutinho and PMS Fialho},
  year = {2026},
  eprint = {2602.08919},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2602.08919},
  note = {Preprint}
}