Eigenvalues of graphs and spectral Moore theorems

Published 20 Apr 2020 in math.CO and cs.DM | (2004.09221v1)

Abstract: In this paper, we describe some recent spectral Moore theorems related to determining the maximum order of a connected graph of given valency and second eigenvalue. We show how these spectral Moore theorems have applications in Alon-Boppana theorems for regular graphs and in the classical degree-diameter/Moore problem.

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Sebastian M. Cioabă

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