A. A. Makhnev, M. Kh. Shermetova, “On automorphisms of a distance-regular graph with intersection array <nobr>$\{96,76,1;1,19,96\}$</nobr>”, Sib. Èlektron. Mat. Izv., 2018, Volume 15,Pages <nobr>167

This article is cited in 3 papers

Discrete mathematics and mathematical cybernetics

On automorphisms of a distance-regular graph with intersection array $\{96,76,1;1,19,96\}$

A. A. Makhnev^a, M. Kh. Shermetova^b

^a N.N. Krasovsky Institute of Mathematics and Meckhanics, str. S. Kovalevskoy, 16, 620990, Ekaterinburg, Russia
^b Kabardino-Balkarian State University named after H.M. Berbekov, st. Chernyshevsky, 175, 360004, Nalchik, Russia

Abstract: We study automorphisms of a hypothetical distance-regular graph with intersection array $\{96,76,1;1,19,96\}$. It is proved that a distance-regular graph with intersection array $\{96,76,1;1,19,96\}$ is not vertex-transitive.

Keywords: distance-regular graph, automorphism.

UDC: 519.17

MSC: 05C25

Received December 1, 2017, published February 26, 2018

DOI: 10.17377/semi.2018.15.016