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On automorphisms of a distance-regular graph with intersection array {35, 32, 1; 1, 4, 35}

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Abstract

Prime divisors of orders of automorphisms and their fixed-point subgraphs are studied for a hypothetical distance-regular graph with intersection array {35, 32, 1; 1, 4, 35}. It is shown that there are no arc-transitive distance-regular graphs with intersection array {35, 32, 1; 1, 4, 35}.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    L. Yu. Tsiovkina

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  1. L. Yu. Tsiovkina
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Correspondence to L. Yu. Tsiovkina.

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Original Russian Text © L.Yu. Tsiovkina, 2014, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Vol. 20, No. 2.

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Tsiovkina, L.Y. On automorphisms of a distance-regular graph with intersection array {35, 32, 1; 1, 4, 35}. Proc. Steklov Inst. Math. 289 (Suppl 1), 209–215 (2015). https://doi.org/10.1134/S0081543815050193

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  • DOI: https://doi.org/10.1134/S0081543815050193

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