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math.CO2025
On defining Kemeny's constant for non-backtracking random walks
Jane Breen, Mark Kempton, Adam Knudson +1
We propose two possible definitions for a version of Kemeny's constant of a graph based on non-backtracking random walks (in place of the usual simple random walk). We show that th…
math.CO2025
Two Distinct Eigenvalues from a New Graph Product
Eric Culver, Mark Kempton
The parameter of a graph is the minimum number of distinct eigenvalues of a symmetric matrix whose pattern is given by . We introduce a novel graph product by which w…