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Matematicheskie Zametki, 2017, Volume 101, Issue 6, Pages 823–831
DOI: https://doi.org/10.4213/mzm11100 (Mi mzm11100) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Automorphisms of Graphs with Intersection Arrays $\{60,45,8;1,12,50\}$ and $\{49,36,8;1,6,42\}$

A. L. Gavrilyuk, A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (464 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11100
Abstract: Automorphisms of distance-regular graphs are considered. It is proved that any graph with the intersection array $\{60,45,8;1,12,50\}$ is not vertex symmetric, and any graph with the intersection array $\{49,36,8;1,6,42\}$ is not edge symmetric.
Keywords: distance regular graph, vertex symmetric graph.
Funding agency Grant number
Russian Science Foundation 14-11-00061
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
This work was financially supported by the Russian Science Foundation under grant 14-11-00061 (Theorem 1 and Corollary 1) and by the State Program of Supporting Leading Universities of the Russian Federation under Agreement 02. A03.21.0006 as of 27.08.2013 (Theorem 2).
Received: 27.01.2016
Revised: 07.06.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 6, Pages 942–950
DOI: https://doi.org/10.1134/S0001434617050200
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. L. Gavrilyuk, A. A. Makhnev, “Automorphisms of Graphs with Intersection Arrays $\{60,45,8;1,12,50\}$ and $\{49,36,8;1,6,42\}$”, Mat. Zametki, 101:6 (2017), 823–831; Math. Notes, 101:6 (2017), 942–950
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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