The Beraha number $B_{10}$ is a chromatic root
Combinatorics
2016-11-08 v1
Abstract
This note exhibits graphs whose chromatic polynomials have the Beraha number as a root. It was previously known that no other non-integer Beraha number is a chromatic root, and so these examples complete the determination of precisely which Beraha numbers can be chromatic roots.
Cite
@article{arxiv.1611.01941,
title = {The Beraha number $B_{10}$ is a chromatic root},
author = {Gordon Royle},
journal= {arXiv preprint arXiv:1611.01941},
year = {2016}
}