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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1339–1345
DOI: https://doi.org/10.17377/semi.2016.13.104
(Mi semr754)
 

This article is cited in 1 scientific paper (total in 2 paper)

Mathematical logic, algebra and number theory

Arc-transitive antipodal distance-regular graphs of diameter three related to $PSL_d(q)$

A. A. Makhnev, L. Yu. Tsiovkina

Krasovsky Institute of Mathematics and Mechanics, S. Kovalevskaya str., 16, 620990, Yekaterinburg, Russia
Full-text PDF (139 kB) Citations (2)
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Abstract: In this paper, we investigate antipodal distance-regular graphs of diameter three and valency $q(q^{d-1}-1)/(q-1)$ with arc-transitive automorphism group which induces an almost simple permutation group on the antipodal classes with the socle isomorphic to $PSL_d(q),$ where $ d\ge 3$. We find that such a graph is necessarily bipartite.
Keywords: arc-transitive graph, distance-regular graph, antipodal cover.
Funding agency Grant number
Russian Science Foundation 14-11-00061
This work was supported by the grant of Russian Science Foundation, project no. 14-11-00061.
Received September 2, 2016, published December 23, 2016
Bibliographic databases:
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: English
Citation: A. A. Makhnev, L. Yu. Tsiovkina, “Arc-transitive antipodal distance-regular graphs of diameter three related to $PSL_d(q)$”, Sib. Èlektron. Mat. Izv., 13 (2016), 1339–1345
Citation in format AMSBIB
\Bibitem{MakTsi16}
\by A.~A.~Makhnev, L.~Yu.~Tsiovkina
\paper Arc-transitive antipodal distance-regular graphs of diameter three related to~$PSL_d(q)$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1339--1345
\mathnet{http://mi.mathnet.ru/semr754}
\crossref{https://doi.org/10.17377/semi.2016.13.104}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100104}
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