On amply regular graphs with $k=10$, $\lambda=3$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 75-90
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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 $(v,k,\lambda,\mu)$. A classification of amply regular graphs with $k=10$, $\lambda=3$ is obtained.
Keywords:
amply regular graph, distance-regular graph.
@article{TIMM_2010_16_2_a5,
author = {K. S. Efimov and A. A. Makhnev and M. S. Nirova},
title = {On amply regular graphs with $k=10$, $\lambda=3$},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {75--90},
year = {2010},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a5/}
}
K. S. Efimov; A. A. Makhnev; M. S. Nirova. On amply regular graphs with $k=10$, $\lambda=3$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 75-90. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a5/
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