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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 22. Amply regular graphs in which neighborhoods of vertices are isomorphic to the Mathieu graph (the strongly regular graph with parameters (77,16,0,4)(77,16,0,4) without triangles) are classified.
Keywords: strongly regular graph, Mathieu graph, locally XX-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
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 155--163
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 283
\issue , suppl. 1
\pages 91--99
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Linking options:
  • https://www.mathnet.ru/eng/timm849
  • https://www.mathnet.ru/eng/timm/v18/i3/p155
    • This publication is cited in the following 3 articles:
    1. “Makhnev Aleksandr Alekseevich (on his 60th birthday)”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), 1–11  mathnet  crossref  mathscinet
    2. Isakova M.M. Makhnev A.A., “On Graphs Whose Local Subgraphs Are Strongly Regular with Parameters (162,21,0,3)”, Dokl. Math., 88:2 (2013), 548–551  crossref  mathscinet  zmath  isi  elib  scopus
    3. Makhnev A.A., “On Strongly Regular Graphs with Eigenvalue 3 and their Extensions”, Dokl. Math., 88:1 (2013), 453–456  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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