English

A Paley-like graph in characteristic two

Combinatorics 2015-09-18 v1

Abstract

The Paley graph is a well-known self-complementary pseudo-random graph, defined over a finite field of odd order. We describe an attempt at an analogous construction using fields of even order. Some properties of the graph are noted, such as the existence of a Hamiltonian decomposition.

Keywords

Cite

@article{arxiv.1509.05198,
  title  = {A Paley-like graph in characteristic two},
  author = {Andrew Thomason},
  journal= {arXiv preprint arXiv:1509.05198},
  year   = {2015}
}
R2 v1 2026-06-22T10:58:45.084Z