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math.CO2019★ 1 cited
Diagonal entries of the average mixing matrix
Chris Godsil, Krystal Guo, Mariia Sobchuk
We study the diagonal entries of the average mixing matrix of continuous quantum walks. The average mixing matrix is a graph invariant; it is the sum of the Schur squares of spectr…
math.CO2019
Transversal polynomial of r-fold covers
Chris Godsil, Krystal Guo, Gordon Royle
We explore the interplay between algebraic combinatorics and algorithmic problems in graph theory by defining a polynomial with connections to correspondence colouring (also known…