Geodesic
Automorphisms of graph with intersection array $\{64,42,1;1,21,64\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 856-863

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A.A. Makhnev and M.S. Samoilenko found parameters of strongly regular graphs which can be local subgraphs in antipodal distance-regular graph of diameter $3$ with $\lambda=\mu$. It is suggested the programm of investigation antipodal distance-regular graph of diameter $3$ with $\lambda=\mu$ and local subgraphs having this parameters. It is consider parameters $(64,21,8,6)$ in this paper. It is proved that vertex-symmetric distance-regular graph with intersection array $\{64,42,1;1,21,64\}$ is arc-transitive with the automorphism group having socle $L_2(64)$ or $U_3(4)$.
Keywords: distance-regular graph
Mots-clés : automorphism. 
@article{SEMR_2017_14_a24,
     author = {A. A. Makhnev and M. M. Isakova and A. A. Tokbaeva},
     title = {Automorphisms of graph with intersection array $\{64,42,1;1,21,64\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {856--863},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a24/}
}
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%A A. A. Tokbaeva
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A. A. Makhnev; M. M. Isakova; A. A. Tokbaeva. Automorphisms of graph with intersection array $\{64,42,1;1,21,64\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 856-863. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a24/