Explicit construction of Ramanujan bigraphs

preprint2015arXivOpen access

We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of $SU_3(\mathbb Q_p)$ . To make the graphs finite, we take successive quotients by infinitely many discrete co-compact subgroups of decreasing size.

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Explicit construction of Ramanujan bigraphs

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