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math.CO2026
Zero-freeness of a multivariate monomer-dimer-cycle polynomial on bounded-degree graphs
Gabriel Coutinho, Paula M. S. Fialho
We initiate the study of a multivariate graph polynomial that interpolates between classical counting polynomials for matchings and for cycle structures arising in the…
math.CO2024★ 1 cited
Selected Open Problems in Continuous-Time Quantum Walks
Gabriel Coutinho, Krystal Guo
Quantum walks on graphs are fundamental to quantum computing and have led to many interesting open problems in algebraic graph theory. This review article highlights three key clas…