5 citations · 22 across the 23 of their papers we have counts for
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Spectral properties of the non-backtracking matrix of a graph
Cory Glover, Mark Kempton
We investigate the spectrum of the non-backtracking matrix of a graph. In particular, we show how to obtain eigenvectors of the non-backtracking matrix in terms of eigenvectors of…
Resistance distance, Kirchhoff index, and Kemeny's constant in flower graphs
Nolan Faught, Mark Kempton, Adam Knudson
We obtain a general formula for the resistance distance (or effective resistance) between any pair of nodes in a general family of graphs which we call flower graphs. Flower graphs…
Approximate quantum fractional revival in paths and cycles
Ada Chan, Whitney Drazen, Or Eisenberg +2
We initiate the study of approximate quantum fractional revival in graphs, a generalization of pretty good quantum state transfer in graphs. We give a complete characterization of…
Fundamentals of fractional revival in graphs
Ada Chan, Gabriel Coutinho, Whitney Drazen +6
We develop a general spectral framework to analyze quantum fractional revival in quantum spin networks. In particular, we introduce generalizations of the notions of cospectral and…
Spectral Threshold for Extremal Cyclic Edge-Connectivity
Sinan G. Aksoy, Mark Kempton, Stephen J. Young
The cyclic edge-connectivity of a graph is the least such that there exists a set of edges whose removal disconnects into components where every component contains…