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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 189–198 (Mi timm764)  
This article is cited in 2 scientific papers (total in 3 papers)

On graphs in which neighborhoods of vertices are isomorphic to the Higman–Sims graph

A. A. Makhnevab, D. V. Paduchikha

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (195 kB) Citations (3)
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Abstract: The Higman–Sims graph is the unique strongly regular graph with parameters $(100,22,0,6)$. In this paper, amply regular graphs in which neighborhoods of vertices are isomorphic to the Higman–Sims graph are classified. This result continues the investigation of amply regular locally $\mathcal F$-graphs, where $\mathcal F$ is the class of strongly regular graphs without triangles.
Keywords: strongly regular graph, Higman–Sims graph, locally $\mathcal F$-graph.
Received: 28.01.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 279, Issue 1, Pages 73–83
DOI: https://doi.org/10.1134/S0081543812090064
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, D. V. Paduchikh, “On graphs in which neighborhoods of vertices are isomorphic to the Higman–Sims graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 189–198; Proc. Steklov Inst. Math. (Suppl.), 279, suppl. 1 (2012), 73–83
Citation in format AMSBIB
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\paper On graphs in which neighborhoods of vertices are isomorphic to the Higman--Sims graph
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\issue 4
\pages 189--198
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 279
\issue , suppl. 1
\pages 73--83
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:42
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