Random Latin square graphs
Combinatorics
2011-06-02 v1
Abstract
In this paper we introduce new models of random graphs, arising from Latin squares which include random Cayley graphs as a special case. We investigate some properties of these graphs including their clique, independence and chromatic numbers, their expansion properties as well as their connectivity and Hamiltonicity. The results obtained are compared with other models of random graphs and several similarities and differences are pointed out. For many properties our results for the general case are as strong as the known results for random Cayley graphs and sometimes improve the previously best results for the Cayley case.
Keywords
Cite
@article{arxiv.1106.0282,
title = {Random Latin square graphs},
author = {Demetres Christofides and Klas Markström},
journal= {arXiv preprint arXiv:1106.0282},
year = {2011}
}
Comments
Accepted for publication in 'Random Structures and Algorithms'