Ramanujan Graphs with Small Girth
classification
🧮 math.CO
math.GR
keywords
coveringgraphsgirthramanujancommonconstructfamilygive
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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 graphs is the universal covering tree.
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