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

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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. 
@article{SEMR_2014_11_a7,
     author = {S. V. Goryainov},
     title = {On isomorphism between distance-regular graphs},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {311--320},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a7/}
}
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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/