We show that there is no (95,40,12,20) strongly regular graph and, consequently, there is no (96,45,24,18) strongly regular graph, no two-graph on 96 vertices, and no partial geometry pg(5,9,3). The main idea of the result is based on the star complement technique and requires a small amount of computation.
Cite
@article{arxiv.1603.02032,
title = {There is no (95,40,12,20) strongly regular graph},
author = {Jernej Azarija and Tilen Marc},
journal= {arXiv preprint arXiv:1603.02032},
year = {2016}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:1509.05933