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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 90–98
(Mi timm842)
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Classification of amply regular graphs with b1=6
K. S. Efimov Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
An undirected graph with v vertices in which the degrees of all vertices are equal to k, each edge is contained in exactly λ triangles, and the intersection of the neighborhoods of any two vertices at distance 2 contains exactly μ vertices is called amply regular with parameters (v,k,λ,μ). We complete the classification of amply regular graphs with b1=6, where b1=k−λ−1.
Keywords:
amply regular graph, distance-regular graph.
Received: 13.01.2012
Citation:
K. S. Efimov, “Classification of amply regular graphs with b1=6”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 90–98; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 46–55
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https://www.mathnet.ru/eng/timm842 https://www.mathnet.ru/eng/timm/v18/i3/p90
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Abstract page: | 276 | Full-text PDF : | 71 | References: | 51 | First page: | 2 |
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