English

There is no strongly regular graph with parameters (460,153,32,60)

Combinatorics 2017-04-20 v2

Abstract

We prove that there is no strongly regular graph (SRG) with parameters (460,153,32,60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs.

Cite

@article{arxiv.1509.06286,
  title  = {There is no strongly regular graph with parameters (460,153,32,60)},
  author = {A. V. Bondarenko and A. Mellit and A. Prymak and D. Radchenko and M. Viazovska},
  journal= {arXiv preprint arXiv:1509.06286},
  year   = {2017}
}
R2 v1 2026-06-22T11:01:47.930Z