Geodesic
Automorphisms of the $AT4(6,6,3)$-graph and its strongly-regular graphs
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 271-280 Cet article a éte moissonné depuis la source Math-Net.Ru

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Koolen and Jurisich defined class of $AT4$-graphs (tight antipodal graph of diameter $4$). Among these graphs available graph with intersection array $\{288,245,48,1;1,24,245,288\}$ on $v=1+288+2940+576+2=3807$ vertices. Antipodal quotient of this graph is strongly regular graph with parameters $(1269,288,42,72)$. Both these graphs are locally pseudo $GQ(7,5)$-graphs. In this paper we find possible automorphisms of these graphs. In particular, group of automorphisms of distance-regular graph with intersection array $\{288,245,48,1;1,24,245,288\}$ acts intransitive on the set of its antipodal classes.
Keywords: distance-regular graph, strongly-regular graph, automorphism of the graph. 
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Konstantin S. Efimov; Aleksandr A. Makhnev. Automorphisms of the $AT4(6,6,3)$-graph and its strongly-regular graphs. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 271-280. http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a0/

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