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Automorphisms of Higman graphs with µ = 6

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Abstract

We call a strongly regular graph with \(v = \left( {\begin{array}{*{20}c} m \\ 2 \\ \end{array} } \right)\) and k = 2(m − 2) a Higman graph. In Higman graphs, the parameter µ takes values 4, 6, 7, and 8. We find possible orders of automorphisms of Higman graphs with µ = 6 and study the structure of fixed-point subgraphs of these automorphisms.

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Authors and Affiliations

  1. South Ural State University, pr. Lenina 76, Chelyabinsk, 454080, Russia

    N. D. Zyulyarkina

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

    A. A. Makhnev

  3. Institute of Radioelectronics and Informational Technologies, Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia

    A. A. Makhnev

Authors
  1. N. D. Zyulyarkina
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  2. A. A. Makhnev
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Correspondence to N. D. Zyulyarkina.

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Original Russian Text © N.D. Zyulyarkina, A.A.Makhnev, 2014, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Vol. 20, No. 2.

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Zyulyarkina, N.D., Makhnev, A.A. Automorphisms of Higman graphs with µ = 6. Proc. Steklov Inst. Math. 289 (Suppl 1), 240–268 (2015). https://doi.org/10.1134/S0081543815050223

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  • DOI: https://doi.org/10.1134/S0081543815050223

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