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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 75–90 (Mi timm550)  

This article is cited in 2 scientific papers (total in 3 papers)

On amply regular graphs with $k=10$, $\lambda=3$

K. S. Efimova, A. A. Makhneva, M. S. Nirovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Kabardino-Balkar State University
Full-text PDF (258 kB) Citations (3)
References:
Abstract: An undirected graph with $v$ vertices in which the degrees of all vertices are equal to $k$, each edge is contained in exactly $\lambda$ triangles, and the intersection of the neighborhoods of any two vertices at distance 2 contains exactly $\mu$ vertices is called amply regular with parameters $(v,k,\lambda,\mu)$. A classification of amply regular graphs with $k=10$, $\lambda=3$ is obtained.
Keywords: amply regular graph, distance-regular graph.
Received: 16.06.2009
Bibliographic databases:
Document Type: Article
UDC: 519.14
Language: Russian
Citation: K. S. Efimov, A. A. Makhnev, M. S. Nirova, “On amply regular graphs with $k=10$, $\lambda=3$”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 2, 2010, 75–90
Citation in format AMSBIB
\Bibitem{EfiMakNir10}
\by K.~S.~Efimov, A.~A.~Makhnev, M.~S.~Nirova
\paper On amply regular graphs with $k=10$, $\lambda=3$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 2
\pages 75--90
\mathnet{http://mi.mathnet.ru/timm550}
\elib{https://elibrary.ru/item.asp?id=14809440}
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  • https://www.mathnet.ru/eng/timm/v16/i2/p75
  • 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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