Signatures, lifts, and eigenvalues of graphs
classification
🧮 math.CO
cs.DM
keywords
cyclicliftsgraphsramanujansignaturesbipartitecorrespondingeigenvalues
read the original abstract
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Starting from a bipartite Ramanujan graph, we prove the existence of an infinite tower of $3$-cyclic lifts, each of which is again Ramanujan.
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