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Mathematical logic, algebra and number theory
On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,4,243\}$
V. V. Bitkina Severo-Osetinskii State University, str. Vatutina, 46, 362000, Vladikavkaz, Russia
Abstract:
It was proved that a distance regular graph in which neighborhoods of vertices are strongly regular with parameters $(243,22,1,2)$ has intersection array $\{243,220,1;1,22,243\}$ or $\{243,220,1;1,4,243\}$. In this paper we found the automorphisms of a distance regular graph with intersection array $\{243,220,1;1,4,243\}$. In particular, this graph is not vertex-symmetric.
Received October 20, 2016, published January 24, 2017
Citation:
V. V. Bitkina, “On automorphisms of a distance-regular graph with intersection array $\{243,220,1;1,4,243\}$”, Sib. Èlektron. Mat. Izv., 14 (2017), 26–32
Linking options:
https://www.mathnet.ru/eng/semr760 https://www.mathnet.ru/eng/semr/v14/p26
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| Abstract page: | 287 | | Full-text PDF : | 69 | | References: | 60 |
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