Geodesic
On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,4,243\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 26-32

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It was proved that a distance regular graph in which neighborhoods of vertices are strongly regular with parameters $(243,22,1,2)$ 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 $\{243,220,1;1,4,243\}$. In particular, this graph is not vertex-symmetric. 
@article{SEMR_2017_14_a0,
     author = {V. V. Bitkina},
     title = {On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,4,243\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {26--32},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a0/}
}
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V. V. Bitkina. On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,4,243\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 26-32. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a0/