English

Design spectra for 6-regular graphs with 12 vertices

Combinatorics 2024-01-08 v1

Abstract

The design spectrum of a simple graph GG is the set of positive integers nn such that there exists an edgewise decomposition of the complete graph KnK_n into n(n1)/(2E(G))n(n - 1)/(2 |E(G)|) copies of GG. We compute the design spectra for 7788 6-regular graphs with 12 vertices.

Keywords

Cite

@article{arxiv.2401.02846,
  title  = {Design spectra for 6-regular graphs with 12 vertices},
  author = {Anthony D. Forbes and Carrie G. Rutherford},
  journal= {arXiv preprint arXiv:2401.02846},
  year   = {2024}
}

Comments

261 pages. The paper without the appendix will be submitted to a journal

R2 v1 2026-06-28T14:09:35.529Z