A. A. Makhnev, D. V. Paduchikh, L. Yu. Tsiovkina, “Arc-transitive distance-regular coverings of cliques with $\lambda=\mu$”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 237–246; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 124

Trudy Instituta Matematiki i Mekhaniki UrO RAN

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 2, Pages 237–246 (Mi timm949)

This article is cited in 10 scientific papers (total in 11 papers)

Arc-transitive distance-regular coverings of cliques with

$\lambda=\mu$

A. A. Makhnev^ab, D. V. Paduchikh^a, L. Yu. Tsiovkina^a

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Ural Federal University

Full-text PDF (208 kB) Citations (11)

References:

PDF

HTML

Abstract: We study antipodal distance-regular graphs of diameter 3 such that their group of automorphisms acts transitively on the set of pairs

$(a,b)$ , where

$\{a,b\}$ is an edge of the graph. Hence the group of automorphisms of the graph acts

$2$ -transitively on the set of antipodal classes, so the classification of

$2$ -transitive permutation groups can be used. We classify arc-transitive distance-regular graphs of diameter 3 in which any two vertices with distance at most two have exactly

$\mu$ common neighbors.

Keywords: arc-transitive graphs, antipodal distance-regular graphs, groups of automorphisms.

Received: 14.12.2012

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 284, Issue 1, Pages 124–134
DOI: https://doi.org/10.1134/S0081543814020114

Bibliographic databases:

Document Type: Article

UDC: 519.17+512.54

Language: Russian

Citation: A. A. Makhnev, D. V. Paduchikh, L. Yu. Tsiovkina, “Arc-transitive distance-regular coverings of cliques with

$\lambda=\mu$ ”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 237–246; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 124–134

Citation in format AMSBIB

\Bibitem{MakPadTsi13}

\by A.~A.~Makhnev, D.~V.~Paduchikh, L.~Yu.~Tsiovkina

\paper Arc-transitive distance-regular coverings of cliques with $\lambda=\mu$

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2013

\vol 19

\issue 2

\pages 237--246

\mathnet{http://mi.mathnet.ru/timm949}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364110}

\elib{https://elibrary.ru/item.asp?id=19053986}

\transl

\jour Proc. Steklov Inst. Math. (Suppl.)

\yr 2014

\vol 284

\issue , suppl. 1

\pages 124--134

\crossref{https://doi.org/10.1134/S0081543814020114}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000334277400011}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898742410}

Linking options:

https://www.mathnet.ru/eng/timm949

https://www.mathnet.ru/eng/timm/v19/i2/p237

This publication is cited in the following 11 articles:

I. T. Mukhametyanov, “Ob odnoi beskonechnoi serii dopustimykh massivov peresechenii distantsionno-regulyarnykh grafov diametra 5”, Izvestiya vysshikh uchebnykh zavedenii. Povolzhskii region. Fiziko-matematicheskie nauki, 2022, no. 4, 17–30
Ludmila Yu. Tsiovkina, “Covers of complete graphs and related association schemes”, Journal of Combinatorial Theory, Series A, 191 (2022), 105646
Denis S. Krotov, “The Existence of Perfect Codes in Doob Graphs”, IEEE Trans. Inform. Theory, 66:3 (2020), 1423
A. A. Makhnev, D. V. Paduchikh, L. Yu. Tsiovkina, “Edge-symmetric distance-regular coverings of complete graphs: the almost simple case”, Algebra and Logic, 57:2 (2018), 141–152
Konstantin S. Efimov, Alexander A. Makhnev, “Automorphisms of distance-regular graph with intersection array $\{25,16,1;1,8,25\}$”, Ural Math. J., 3:1 (2017), 27–32
A. A. Makhnev, M. M. Isakova, A. A. Tokbaeva, “Avtomorfizmy distantsionno regulyarnogo grafa s massivom peresechenii $\{64,42,1;1,21,64\}$”, Sib. elektron. matem. izv., 14 (2017), 856–863
L.Yu. Tsiovkina, “Arc-transitive antipodal distance-regular covers of complete graphs related to SU3(q)”, Discrete Mathematics, 340:2 (2017), 63
L. Yu. Tsiovkina, “On the local structure of distance-regular Mathon graphs”, Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 225–230
A. A. Makhnev, L. Yu. Tsiovkina, “Arc-transitive antipodal distance-regular graphs of diameter three related to $PSL_d(q)$”, Sib. elektron. matem. izv., 13 (2016), 1339–1345
L. Yu. Tsiovkina, “Two new infinite families of arc-transitive antipodal distance-regular graphs of diameter three with $\lambda =\mu $ λ = μ related to groups $Sz(q)$ S z ( q ) and $^2G_2(q)$ 2 G 2 ( q )”, J Algebr Comb, 41:4 (2015), 1079
“Makhnev Aleksandr Alekseevich (on his 60th birthday)”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), 1–11

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

Statistics & downloads:
Abstract page:	385
Full-text PDF :	94
References:	72
First page:	5

Registration to the website

Logotypes