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Paper detail

Eigenvalues of graphs and spectral Moore theorems

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.

preprint2020arXivOpen access
Sebastian M. Cioabă
math.CODiscrete Mathematics
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Sebastian M. Cioabă

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