English

The circular altitude of a graph

Combinatorics 2016-08-23 v1

Abstract

In this paper we investigate a parameter of graphs, called the circular altitude, introduced by Peter Cameron. We show that the circular altitude provides a lower bound on the circular chromatic number, and hence on the chromatic number, of a graph and investigate this parameter for the iterated Mycielskian of certain graphs.

Keywords

Cite

@article{arxiv.1608.06127,
  title  = {The circular altitude of a graph},
  author = {John Bamberg and Brian Corr and Alice Devillers and Daniel Hawtin and Irene Pivotto and Eric Swartz},
  journal= {arXiv preprint arXiv:1608.06127},
  year   = {2016}
}
R2 v1 2026-06-22T15:26:12.038Z