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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 178–189
DOI: https://doi.org/10.17377/semi.2017.14.018
(Mi semr777)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

Automorphisms of distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$

M. S. Nirova

Kabardino-Balkarian State University named after H.M. Berbekov, st. Chernyshevsky, 175, 360004, Nalchik, Russia
Full-text PDF (183 kB) Citations (1)
References:
Abstract: Distance-regular graph with intersection array $\{204,175,48,1;1,12,175,204\}$ is $AT4(4,6,5)$-graph. Antipodal quotient $\bar \Gamma$ is strongly regular with parameters $(800,204,28,60)$ and nonprincipal eigenvalues $4,-36$. Constituents of $\bar \Gamma$ are strongly regular with parameters $(204,28,2,4)$ and $(595,144,18,40)$, the second neighborhhood of vertex in $\Gamma$ is distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$. In this paper automorphisms of strongly regalar graphs with parameters $(204,28,2,4)$, $(595,144,18,40)$ and distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$ are investigated.
Keywords: distance-regular graph, automorphism.
Funding agency Grant number
Russian Science Foundation 15-11-10025
Received January 15, 2017, published March 6, 2017
Bibliographic databases:
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: Russian
Citation: M. S. Nirova, “Automorphisms of distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$”, Sib. Èlektron. Mat. Izv., 14 (2017), 178–189
Citation in format AMSBIB
\Bibitem{Nir17}
\by M.~S.~Nirova
\paper Automorphisms of distance-regular graph with intersection array $\{144,125,32,1;1,8,125,144\}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 178--189
\mathnet{http://mi.mathnet.ru/semr777}
\crossref{https://doi.org/10.17377/semi.2017.14.018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3622901}
\zmath{https://zbmath.org/?q=an:1357.05059}
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  • https://www.mathnet.ru/eng/semr/v14/p178
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :40
    References:28
     
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