1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
Peak state transfer in continuous quantum walks
Gabriel Coutinho, Krystal Guo, Vincent Schmeits
We introduce and study peak state transfer, a notion of high state transfer in qubit networks modeled by continuous-time quantum walks. Unlike perfect or pretty good state transfer…
Semidefinite programming bounds on fractional cut-cover and maximum 2-SAT for highly regular graphs
Henrique Assumpção, Gabriel Coutinho
We use semidefinite programming to bound the fractional cut-cover parameter of graphs in association schemes in terms of their smallest eigenvalue. We also extend the equality case…
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…