Classification of amply regular graphs with~$b_1=6$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 90-98
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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.
@article{TIMM_2012_18_3_a10,
author = {K. S. Efimov},
title = {Classification of amply regular graphs with~$b_1=6$},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {90--98},
publisher = {mathdoc},
volume = {18},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a10/}
}
K. S. Efimov. Classification of amply regular graphs with~$b_1=6$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 3, pp. 90-98. http://geodesic.mathdoc.fr/item/TIMM_2012_18_3_a10/