English

New directed strongly regular graphs on 60 vertices

Combinatorics 2026-04-08 v1

Abstract

We prove the existence of directed strongly regular graphs with parameters (60,21,11,6,8), (60,22,12,8,8), (60,24,10,9,10), (60,25,17,8,12), (60,27,21,12,12) and (60,28,20,14,12). The group S5×2S_5 \times 2 acts transitively on the constructed graphs.

Keywords

Cite

@article{arxiv.2604.05884,
  title  = {New directed strongly regular graphs on 60 vertices},
  author = {Dean Crnkovic and Andrea Svob and Matea Zubovic Zutolija},
  journal= {arXiv preprint arXiv:2604.05884},
  year   = {2026}
}

Comments

5 pages

R2 v1 2026-07-01T11:57:26.378Z