English

Switching equivalence of strongly regular polar graphs

Combinatorics 2025-11-25 v2

Abstract

We prove the switching equivalence of the strongly regular polar graphs NO±(4m,2)NO^\pm(4m,2), NO(2m+1,4)NO^\mp(2m+1,4), and Γ(O(4m,2))\Gamma(O^\mp(4m,2)) plus an isolated vertex by giving an analytic description for them and their associated two-graphs.

Keywords

Cite

@article{arxiv.2402.05754,
  title  = {Switching equivalence of strongly regular polar graphs},
  author = {Gábor P. Nagy and Valentino Smaldore},
  journal= {arXiv preprint arXiv:2402.05754},
  year   = {2025}
}