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Diskretnaya Matematika, 2017, Volume 29, Issue 1, Pages 10–16
DOI: https://doi.org/10.4213/dm1402 (Mi dm1402) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On automorphisms of a distance-regular graph with intersection array $\{99,84,30;1,6,54\}$

K. S. Efimova, A. A. Makhnevb

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.4213/dm1402
Abstract: Recently it was shown that a distance-regular graph in which neighbourhoods of vertices are strongly regular with parameters (99,14,1,2) has intersection array $\{99,84,1;1,14,99\}$, $\{99,84,1;1,12,99\}$ or $\{99,84,30;1,6,54\}$. In the present paper we find possible automorphisms of a graph with the intersection array $\{99,84,30;1,6,54\}$. It is shown, in particular, that such a graph is not point-symmetric.
Keywords: distance-regular graph, strongly 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
Russian Foundation for Basic Research 14-01-31298_мол_а
This work was carried out with the financial support of the Russian Science Foundation (grant no. 14-11-00061) (Theorem 1) and under the agreement no. 02.A03.21.0006 between the Ministry of Education and Science of the Russian Federation and the Ural Federal University of 27.08.2013 (Theorem 2). The first-named author was also supported by the Russian Foundation for Basic Research (grant no. 14-01-31298) (Theorem 2).
Received: 26.01.2016
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 1, Pages 23–27
DOI: https://doi.org/10.1515/dma-2018-0003
Bibliographic databases:
Document Type: Article
UDC: 519.179.175.1
Language: Russian
Citation: K. S. Efimov, A. A. Makhnev, “On automorphisms of a distance-regular graph with intersection array $\{99,84,30;1,6,54\}$”, Diskr. Mat., 29:1 (2017), 10–16; Discrete Math. Appl., 28:1 (2018), 23–27
Citation in format AMSBIB
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