On the Nonexistence of Strongly Regular Graphs with Parameters (486, 165, 36, 66)

• Date: 2002
• Main Authors: Makhnev, A. A., Махнев, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4130
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that a strongly regular graph with parameters (486, 165, 36, 66) does not exist. Since the parameters indicated are parameters of a pseudogeometric graph for pG 2(5, 32), we conclude that the partial geometries pG 2(5, 32) and pG 2(32, 5) do not exist. Finally, a neighborhood of an arbitrar...