On amply regular graphs with $b_1\le5$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 1-11
Voir la notice de l'article provenant de la source Math-Net.Ru
Regular graph of degree $k$ on $v$ vertices such that any edge is contained exactly in $\lambda$ triangles is called edge-regular graph with parameters $(v,k,\lambda)$. Edge-regular graph $\Gamma$ such that $|\Gamma(u)\cap\Gamma(w)|=\mu$ for any two vertices $u$, $w$ with $d(u,w)=2$ is called amply regular graph with parameters $(v,k,\lambda)$. It is obtained the description of amply regular graphs with $k-\lambda-1\le5$.
@article{SEMR_2007_4_a0,
author = {M. S. Nirova},
title = {On amply regular graphs with $b_1\le5$},
journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
pages = {1--11},
publisher = {mathdoc},
volume = {4},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SEMR_2007_4_a0/}
}
M. S. Nirova. On amply regular graphs with $b_1\le5$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 1-11. http://geodesic.mathdoc.fr/item/SEMR_2007_4_a0/