Random cubic graphs are not homomorphic to the cycle of size 7
Combinatorics
2007-05-23 v1
Abstract
We prove that a random cubic graph almost surely is not homomorphic to a cycle of size 7. This implies that there exist cubic graphs of arbitrarily high girth with no homomorphisms to the cycle of size 7.
Keywords
Cite
@article{arxiv.math/0701013,
title = {Random cubic graphs are not homomorphic to the cycle of size 7},
author = {Hamed Hatami},
journal= {arXiv preprint arXiv:math/0701013},
year = {2007}
}