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Automorphisms of a Distance Regular Graph with Intersection Array \(\{21,18,12,4;1,1,6,21\}\)

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Abstract

A. A. Makhnev and M. S. Nirova found the intersection arrays of distance regular graphs with \(\lambda=2\) and at most 4096 vertices. For graphs of diameter \(4\), of most interest is the array \(\{21,18,12,4;1,1,6,21\}\) in this list. In this paper, we find the possible orders and fixed point subgraphs of the automorphisms of a distance regular graph with intersection array \(\{21,18,12,4;1,1,6,21\}\).

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References

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Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation and Ural Federal University (contract no. 02. A03.21.0006 of 27.08.2013).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, 620990, Yekaterinburg, Russia

    A. A. Makhnev

  2. Ural Federal University named after the First President of Russia B. N. Yeltsin, 620002, Yekaterinburg, Russia

    A. A. Makhnev

Authors
  1. A. A. Makhnev
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Correspondence to A. A. Makhnev.

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Makhnev, A.A. Automorphisms of a Distance Regular Graph with Intersection Array \(\{21,18,12,4;1,1,6,21\}\). Math Notes 109, 247–255 (2021). https://doi.org/10.1134/S0001434621010284

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  • DOI: https://doi.org/10.1134/S0001434621010284

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