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This article is cited in 1 scientific paper (total in 1 paper)
On the Automorphism Group of an Antipodal Tight Graph of Diameter $4$ with Parameters $(5,7,r)$
L. Yu. Tsiovkina Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
It is proved that the automorphism group of every $\mathrm{AT}4(5,7,r)$-graph acts intransitively on the set of its arcs. Moreover, it is established that the automorphism group of any strongly regular graph with parameters $(329,40,3,5)$ acts intransitively on the set of its vertices.
Keywords:
distance-regular graph, antipodal tight graph, vertex-transitive graph.
Received: 17.12.2017
Citation:
L. Yu. Tsiovkina, “On the Automorphism Group of an Antipodal Tight Graph of Diameter $4$ with Parameters $(5,7,r)$”, Mat. Zametki, 105:1 (2019), 123–135; Math. Notes, 105:1 (2019), 104–114
Linking options:
https://www.mathnet.ru/eng/mzm11897https://doi.org/10.4213/mzm11897 https://www.mathnet.ru/eng/mzm/v105/i1/p123
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Abstract page: | 436 | Full-text PDF : | 34 | References: | 42 | First page: | 18 |
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