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math.CO2019
Characterizing cospectral vertices via isospectral reduction
Mark Kempton, John Sinkovic, Dallas Smith +1
Two emerging topics in graph theory are the study of cospectral vertices of a graph, and the study of isospectral reductions of graphs. In this paper, we prove a fundamental relati…
math.CO2018
General Equitable Decompositions for Graphs with Symmetries
Amanda Francis, Dallas Smith, Benjamin Webb
Using the theory of equitable decompositions it is possible to decompose a matrix appropriately associated with a given graph. The result is a collection of smaller matrices wh…