Explicit construction of Ramanujan bigraphs
Number Theory
2015-02-11 v1
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 . To make the graphs finite, we take successive quotients by infinitely many discrete co-compact subgroups of decreasing size.
Cite
@article{arxiv.1502.02739,
title = {Explicit construction of Ramanujan bigraphs},
author = {Cristina Ballantine and Brooke Feigon and Radhika Ganapathy and Janne Kool and Kathrin Maurischat and Amy Wooding},
journal= {arXiv preprint arXiv:1502.02739},
year = {2015}
}
Comments
10 pages