Automorphisms of graphs with intersection arrays {60, 45, 8; 1, 12, 50} and {49, 36, 8; 1, 6, 42}


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Abstract

Automorphisms of distance-regular graphs are considered. It is proved that any graph with the intersection array {60, 45, 8; 1, 12, 50} is not vertex symmetric, and any graph with the intersection array {49, 36, 8; 1, 6, 42} is not edge symmetric.

About the authors

A. L. Gavrilyuk

Institute of Mathematics and Mechanics

Author for correspondence.
Email: alexander.gavriliouk@gmail.com
Russian Federation, Ekaterinburg

A. A. Makhnev

Institute of Mathematics and Mechanics

Email: alexander.gavriliouk@gmail.com
Russian Federation, Ekaterinburg

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