@MISC{Glasner_ramanujangraphs, author = {Yair Glasner}, title = {Ramanujan Graphs With Small Girth}, year = {} }

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Abstract

We construct an infinite family of (q +1) regular Ramanujan graphs X n of girth 1. We also give covering maps X n+1 ! X n such that the minimal common covering of all the X n 's is the universal covering tree.