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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 305–310
(Mi timm1080)
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This article is cited in 3 scientific papers (total in 3 papers)
On automorphisms of a distance-regular graph with intersection array $\{35,32,1;1,4,35\}$
L. Yu. Tsiovkina Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
Prime divisors of orders of automorphisms and their fixed point subgraphs are studied for a hypothetical distance-regular graph with intersection array $\{35,32,1;1,4,35\}$. It is shown that arc-transitive distance-regular graphs with intersection array $\{35,32,1;1,4,35\}$ do not exist.
Keywords:
arc-transitive graph, distance-regular graph, automorphism.
Received: 27.12.2013
Citation:
L. Yu. Tsiovkina, “On automorphisms of a distance-regular graph with intersection array $\{35,32,1;1,4,35\}$”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 305–310; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 209–215
Linking options:
https://www.mathnet.ru/eng/timm1080 https://www.mathnet.ru/eng/timm/v20/i2/p305
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