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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 155–163 (Mi timm849)  
This article is cited in 2 scientific papers (total in 3 papers)

Graphs in which neighborhoods of vertices are isomorphic to the Mathieu 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 (176 kB) Citations (3)
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Abstract: We consider graphs in which neighborhoods of vertices are isomorphic to a strongly regular graph with the second eigenvalue equal to $2$. Amply regular graphs in which neighborhoods of vertices are isomorphic to the Mathieu graph (the strongly regular graph with parameters $(77,16,0,4)$ without triangles) are classified.
Keywords: strongly regular graph, Mathieu graph, locally $X$-graph.
Received: 15.09.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 91–99
DOI: https://doi.org/10.1134/S0081543813090095
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, D. V. Paduchikh, “Graphs in which neighborhoods of vertices are isomorphic to the Mathieu graph”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 155–163; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 91–99
Citation in format AMSBIB
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\paper Graphs in which neighborhoods of vertices are isomorphic to the Mathieu graph
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\pages 155--163
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages 91--99
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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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