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math.CO2024
The Exact Mixing Time for Trees with Fixed Diameter
Andrew Beveridge, Kristin Heysse, Rhys O'Higgins +1
We characterize the extremal structure for the exact mixing time for random walks on trees of order with diameter . Given a graph , let denote th…
math.CO2024
Defective eigenvalues of the non-backtracking matrix
Kristin Heysse, Kate Lorenzen, Carolyn Reinhart
We consider graphs for which the non-backtracking matrix has defective eigenvalues, or graphs for which the matrix does not have a full set of eigenvectors. The existence of these…