English

A construction of small (q-1)-regular graphs of girth 8

Combinatorics 2015-01-13 v1

Abstract

In this note we construct a new infinite family of (q1)(q-1)-regular graphs of girth 88 and order 2q(q1)22q(q-1)^2 for all prime powers q16q\ge 16, which are the smallest known so far whenever q1q-1 is not a prime power or a prime power plus one itself.

Keywords

Cite

@article{arxiv.1501.02452,
  title  = {A construction of small (q-1)-regular graphs of girth 8},
  author = {M. Abreu and G. Araujo-Pardo and C. Balbuena and D. Labbate},
  journal= {arXiv preprint arXiv:1501.02452},
  year   = {2015}
}

Comments

8 pages, 2 figures