Geodesic
Automorphisms of graph with intersection array $\{64,42,1;1,21,64\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1064-1077

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Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array $\{63,60,1; 1,4, 63\}$. Let $G={\rm Aut}(\Gamma)$, $\bar G=G/S(G)$, $\bar T$ is the socle of $\bar G$. If $\Gamma$ is vertex-symmetric then the possible structure of $G$ is determined. In the case $\bar T\cong U_3(3)$ graph exist and is arc-transitive.
Keywords: distance-regular graph
Mots-clés : automorphism. 
@article{SEMR_2017_14_a31,
     author = {A. A. Makhnev and M. P. Golubyatnikov},
     title = {Automorphisms of graph with intersection array $\{64,42,1;1,21,64\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1064--1077},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a31/}
}
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A. A. Makhnev; M. P. Golubyatnikov. Automorphisms of graph with intersection array $\{64,42,1;1,21,64\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 1064-1077. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a31/