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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 2, Pages 143–161 (Mi timm231)  
This article is cited in 2 scientific papers (total in 3 papers)

Graphs in which neighborhoods of vertices are isomorphic to the Hoffman–Singleton graph

A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (263 kB) Citations (3)
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Abstract: Connected graphs are studied in which neighborhoods of vertices are isomorphic to the Hoffman—Singleton graph (i.e., the strongly regular graph with parameters (50,7,0,1)). It is proved that a distance-regular graph in which neighborhoods of vertices are isomorphic to the Hoffman—Singleton graph has $\mu=2$.
Keywords: Hoffman-–Singleton graph, distance-regular graph, locally $\mathcal F$-graph.
Received: 24.11.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 267, Issue 1, Pages S128–S148
DOI: https://doi.org/10.1134/S008154380907013X
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, “Graphs in which neighborhoods of vertices are isomorphic to the Hoffman–Singleton graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 2, 2009, 143–161; Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S128–S148
Citation in format AMSBIB
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\by A.~A.~Makhnev
\paper Graphs in which neighborhoods of vertices are isomorphic to the Hoffman--Singleton graph
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 2
\pages 143--161
\mathnet{http://mi.mathnet.ru/timm231}
\elib{https://elibrary.ru/item.asp?id=12878777}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 267
\issue , suppl. 1
\pages S128--S148
\crossref{https://doi.org/10.1134/S008154380907013X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000274041900013}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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