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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 311–320
(Mi semr488)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical logic, algebra and number theory
On isomorphism between distance-regular graphs
S. V. Goryainov N. N. Krasovsky Institute of Mathematics and Mechanics, UB RAS, S. Kovalevskaja street 16, 620990, Ekaterinburg, Russia
Abstract:
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, graph isomorphism, group action on a graph.
Received April 16, 2014, published April 29, 2014
Citation:
S. V. Goryainov, “On isomorphism between distance-regular graphs”, Sib. Èlektron. Mat. Izv., 11 (2014), 311–320
Linking options:
https://www.mathnet.ru/eng/semr488 https://www.mathnet.ru/eng/semr/v11/p311
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Abstract page: | 216 | Full-text PDF : | 60 | References: | 52 |
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