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math.CO2015
Generalizations of the Strong Arnold Property and the minimum number of distinct eigenvalues of a graph
Wayne Barrett, Shaun Fallat, H. Tracy Hall +3
For a given graph G and an associated class of real symmetric matrices whose off-diagonal entries are governed by the adjacencies in G, the collection of all possible spectra for s…
math.CO2015
Equitable Decompositions of Graphs
Wayne Barrett, Amanda Francis, Ben Webb
We investigate connections between the symmetries (automorphisms) of a graph and its spectral properties. Whenever a graph has a symmetry, i.e. a nontrivial automorphism , it is…