A. A. Makhnev, M. M. Khamgokova, “Automorphisms of graph with intersection array <nobr>$\{232,198,1;1, 33,232\}$</nobr>”, Sib. Èlektron. Mat. Izv., 2018, Volume 15,Pages <nobr>650

Discrete mathematics and mathematical cybernetics

Automorphisms of graph with intersection array $\{232,198,1;1, 33,232\}$

A. A. Makhnev^ab, M. M. Khamgokova^c

^a Krasovskii Institute of Mathematics and Mechanics, 16 S.Kovalevskaya Str., 620990, Yekaterinburg, Russia
^b Ural Federal University
^c Kabardino-Balkarian State University named after H.M. Berbekov, st. Chernyshevsky, 175, 360004, Nalchik, Russia

Abstract: Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array $\{232,198,1;1, 33,232\}$.

Keywords: distance-regular graph, automorphism.

UDC: 519.17+512.54

MSC: 05C25

Received April 20, 2018, published May 29, 2018

DOI: 10.17377/semi.2018.15.051