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Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 3, Pages 90–98 (Mi timm842)  

Classification of amply regular graphs with $b_1=6$

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 $\lambda$ triangles, and the intersection of the neighborhoods of any two vertices at distance 2 contains exactly $\mu$ vertices is called amply regular with parameters $(v,k,\lambda,\mu)$. We complete the classification of amply regular graphs with $b_1=6$, where $b_1=k-\lambda-1$.

Keywords: amply regular graph, distance-regular graph.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, 283, suppl. 1, 46–55

Bibliographic databases:

UDC: 519.17
Received: 13.01.2012

Citation: K. S. Efimov, “Classification of amply regular graphs with $b_1=6$”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 90–98; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 46–55

Citation in format AMSBIB
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\paper Classification of amply regular graphs with~$b_1=6$
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\yr 2012
\vol 18
\issue 3
\pages 90--98
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 283
\issue , suppl. 1
\pages 46--55
\crossref{https://doi.org/10.1134/S0081543813090046}
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