On completely regular graphs with $k=11, $ $\lambda=4$
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 83-92
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It is well known that if $\Gamma$ is a connected edge-regular graph with $b_1=1$, then $\Gamma$ is a polygon or a complete multipartite graph $K_{n\times2}$. A. A. Makhnev and his students have studied completely regular graphs with $2\le b_1\le5$. In our earlier article, the study of completely regular graphs with $b_1=6$ was reduced to the investigation of graphs with $k\in\{10,11,12\}$. Together with M. S. Nirova, we considered the case $b_1=6$, $k=10$. This paper deals with completely regular graphs with $b_1=6$ and $k=11$.
Keywords:
graph, completely regular graph.
@article{UZKU_2012_154_2_a7,
author = {K. S. Efimov and A. A. Makhnev},
title = {On completely regular graphs with $k=11, $ $\lambda=4$},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {83--92},
publisher = {mathdoc},
volume = {154},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a7/}
}
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%0 Journal Article %A K. S. Efimov %A A. A. Makhnev %T On completely regular graphs with $k=11, $ $\lambda=4$ %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2012 %P 83-92 %V 154 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a7/ %G ru %F UZKU_2012_154_2_a7
K. S. Efimov; A. A. Makhnev. On completely regular graphs with $k=11, $ $\lambda=4$. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 83-92. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a7/