Geodesic
Automorphisms of small graphs with intersection array $\{nm-1, nm-n+m-1,n-m+1;1,1,nm-n+m-1\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1245-1253

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Let $\Gamma$ be a distance regular graph of diameter 3 for which the graph $\Gamma_3$ is a pseudo-network. Previously, A.A. Makhnev, M.P. Golubyatnikov, Wenbin Guo found infinite series of admissible arrays of intersections of such graphs. In the case of $c_2 = 1$, we have the two-parameter series $\{nm-1,nm-n+m-1,n-m+1;1,1,nm-n+m-1\}$. Possible automorphisms of such graphs were found by A.A. Makhnev, M.P. Golubyatnikov. In this paper the author found automorphism groups of distance regular graphs with intersection arrays $\{90,84,7;1,1,84\}$ ($n=13,m=7$), $\{220,216,5;1,1,216\}$ ($n=17,m=13$), $\{272,264,9;1,1,264\}$ ($n=21,m=13$). In particular, this graphs are not arc transitive.
Keywords: distance-regular graph
Mots-clés : automorphism. 
@article{SEMR_2019_16_a69,
     author = {M. P. Golubyatnikov},
     title = {Automorphisms of small graphs with intersection array $\{nm-1, nm-n+m-1,n-m+1;1,1,nm-n+m-1\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1245--1253},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a69/}
}
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M. P. Golubyatnikov. Automorphisms of small graphs with intersection array $\{nm-1, nm-n+m-1,n-m+1;1,1,nm-n+m-1\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1245-1253. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a69/