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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 2, Pages 75–90
(Mi timm550)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/timm550 https://www.mathnet.ru/eng/timm/v16/i2/p75
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Abstract page: | 337 | Full-text PDF : | 91 | References: | 62 |
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