On automorphisms of a distance-regular graph with intersection array {99, 84, 1; 1, 12, 99}


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We find possible orders and fixed point subgraphs of a hypothetical distance-regular graph with intersection array {99, 84, 1; 1, 12, 99}. We show that, for a vertex-symmetric graph Γ with intersection array {99, 84, 1; 1, 12, 99}, its automorphism group is a {2, 3, 5}-group.

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I. Belousov

Krasovskii Institute of Mathematics and Mechanics; Ural Federal University

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Email: i_belousov@mail.ru
俄罗斯联邦, Yekaterinburg, 620990; Yekaterinburg, 620002

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