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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 212–219 (Mi timm1272)  
This article is cited in 1 scientific paper (total in 1 paper)

On automorphisms of a distance-regular graph with intersection array $\{204,175,48,1;1,12,175,204\}$

A. A. Makhnevab, M. S. Nirovaac, D. V. Paduchikha

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
c Kabardino-Balkar State University, Nal'chik
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Abstract: A distance-regular graph $\Gamma$ with intersection array $\{204,175,48,1;1,12,175,204\}$ is an $AT4$-graph. The antipodal quotient $\bar \Gamma$ has parameters $(800,204,28,60)$. Automorphisms of the specified graphs are found. In particular, neither of the two graphs is edge-symmetric.
Keywords: strongly regular graph, eigenvalue of a graph, automorphism of a graph.
Funding agency Grant number
Russian Science Foundation 15-11-10025
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received: 27.08.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 295, Issue 1, Pages 101–108
DOI: https://doi.org/10.1134/S008154381609011X
Bibliographic databases:
Document Type: Article
UDC: 519.17+512.54
Language: Russian
Citation: A. A. Makhnev, M. S. Nirova, D. V. Paduchikh, “On automorphisms of a distance-regular graph with intersection array $\{204,175,48,1;1,12,175,204\}$”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 212–219; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 101–108
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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