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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 23–30
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-23-30 (Mi timm1318) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

I. N. Belousovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-23-30
Abstract: We find possible orders and fixed point subgraphs of a hypothetical distance-regular graph with intersection array $\{99,84,1;1,12,99\}$. It is shown that, if $\Gamma$ is a vertex-symmetric graph with intersection array $\{99,84,1;1, 12,99\}$, then its automorphism group is a $\{2,3,5\}$-group.
Keywords: distance-regular graph, automorphism of a graph.
Funding agency Grant number
Russian Science Foundation 14-11-00061
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received: 22.04.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 19–26
DOI: https://doi.org/10.1134/S0081543817050030
Bibliographic databases:
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: Russian
Citation: I. N. Belousov, “On automorphisms of a distance-regular graph with intersection array $\{99,84,1;1,12,99\}$”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 23–30; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 19–26
Citation in format AMSBIB
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