pith. sign in

arxiv: 1502.02739 · v1 · pith:3S6I65KNnew · submitted 2015-02-09 · 🧮 math.NT

Explicit construction of Ramanujan bigraphs

classification 🧮 math.NT
keywords constructiongraphsramanujanbigraphsbipartitebiregularbruhat-titsbuilding
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.