Geodesic
On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,22,243\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1040-1051

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It was proved that a distance-regular graph in which neighborhoods of vertices are strongly regular with parameters $(245,64,18,16)$ has intersection array $\{243,220,1;1,22,243\}$ or $\{243,220,1;1,4,243\}$. In this paper we found the automorphisms of a distance regular graph with intersection array $\{243,220,1;1,22,243\}$. It is proved that a vertex-transitive distance-regular graph with intersection array $\{243,220,1;1,22,243\}$ is the arc-transitive Mathon graph affording the group $L_2(3^5)$.
Keywords: distance-regular graph
Mots-clés : automorphism. 
@article{SEMR_2016_13_a31,
     author = {V. V. Bitkina and A. K. Gutnova and A. A. Makhnev},
     title = {On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,22,243\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1040--1051},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a31/}
}
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V. V. Bitkina; A. K. Gutnova; A. A. Makhnev. On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,22,243\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1040-1051. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a31/