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Matematicheskie Zametki, 2021, Volume 109, Issue 2, Pages 247–256
DOI: https://doi.org/10.4213/mzm12351 (Mi mzm12351) 		 
Automorphisms of a Distance Regular Graph with Intersection Array $\{21,18,12,4;1,1,6,21\}$

A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.4213/mzm12351
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 $\{21,18,12,4;1,1,6,21\}$.
Keywords: distance regular graph, graph of diameter $4$ with $a_4=0$, graph automorphism.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 02.A03.21.0006
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).
Received: 12.02.2019
Revised: 01.05.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 2, Pages 247–255
DOI: https://doi.org/10.1134/S0001434621010284
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, “Automorphisms of a Distance Regular Graph with Intersection Array $\{21,18,12,4;1,1,6,21\}$”, Mat. Zametki, 109:2 (2021), 247–256; Math. Notes, 109:2 (2021), 247–255
Citation in format AMSBIB
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\paper Automorphisms of a Distance Regular Graph with Intersection Array $\{21,18,12,4;1,1,6,21\}$
\jour Mat. Zametki
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\vol 109
\issue 2
\pages 247--256
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\crossref{https://doi.org/10.4213/mzm12351}
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\transl
\jour Math. Notes
\yr 2021
\vol 109
\issue 2
\pages 247--255
\crossref{https://doi.org/10.1134/S0001434621010284}
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