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On the Automorphism Group of an Antipodal Tight Graph of Diameter 4 with Parameters (5, 7, r)

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Abstract

It is proved that the automorphism group of every AT4(5, 7, r)-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters (329, 40, 3, 5) acts intransitively on the set of its vertices.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, 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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Russian Text © L. Yu. Tsiovkina, 2019, published in Matematicheskie Zametki, 2019, Vol. 105, No. 1, pp. 123–135.

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Tsiovkina, L.Y. On the Automorphism Group of an Antipodal Tight Graph of Diameter 4 with Parameters (5, 7, r). Math Notes 105, 104–114 (2019). https://doi.org/10.1134/S0001434619010115

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  • DOI: https://doi.org/10.1134/S0001434619010115

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