A construction of directed strongly regular graphs with parameters (63,11,8,1,2)

Andries E. Brouwer; Dean Crnković; Andrea Švob

A construction of directed strongly regular graphs with parameters (63,11,8,1,2)

Combinatorics 2024-04-19 v2

Authors: Andries E. Brouwer , Dean Crnković , Andrea Švob

Abstract

In this paper, we prove the existence of directed strongly regular graphs with parameters $(63,11,8,1,2)$ . We construct a pair of nonisomorphic dsrg(63,11,8,1,2), where one is obtained from the other by reversing all arrows. Both directed strongly regular graphs have $L_2(8):3$ as the full automorphism group.

Keywords

directed strongly regular graph graph construction automorphism group combinatorics

Cite

@article{arxiv.2404.03100,
  title  = {A construction of directed strongly regular graphs with parameters (63,11,8,1,2)},
  author = {Andries E. Brouwer and Dean Crnković and Andrea Švob},
  journal= {arXiv preprint arXiv:2404.03100},
  year   = {2024}
}

Comments

3 pages

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