Geodesic
On isomorphism between distance-regular graphs
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 311-320.

Voir la notice de l'article provenant de la source Math-Net.Ru

In [1], two new constructions of antipodal distance-regular graphs related to the group $PSL_2(q)$ have been proposed. The author of [1] remained the question whether these graphs were isomorphic to some known ones unsolved. In this work, we show that distance-regular graphs mentioned above are isomorphic to the Mathon graphs with appropriate values of parameters.
Keywords: distance-regular graph
Mots-clés : graph isomorphism, group action on a graph. 
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S. V. Goryainov. On isomorphism between distance-regular graphs. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 311-320. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a7/

[1] I. T. Mukhametyanov, “On distance-regular graphs on the set of nonidentity $p$-elements of the group $L_2(p^n)$”, Tr. Inst. Mat. Mekh. UrO RAN, 18, no. 3, 2012, 164–178

[2] A. E. Brouwer, A. M. Cohen, A. Neumaier, Distance-regular graphs, Springer-Verlag, Berlin, 1989, 386 pp. | MR | Zbl

[3] V. A. Belonogov, Representations and characters in finite group theory, Ural Branch of Academy of Science, USSR, Sverdlovsk, 1990, 380 pp. | MR