Email this article On automorphisms of a distance-regular graph with intersection array {39, 36, 1; 1, 2, 39}
- Authors: Belousov I.N.1,2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 295, No Suppl 1 (2016)
- Pages: 28-37
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174029
- DOI: https://doi.org/10.1134/S0081543816090042
- ID: 174029
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Abstract
Possible prime-order automorphisms and their fixed-point subgraphs are found for a hypothetical distance-regular graph with intersection array {39, 36, 1; 1, 2, 39}. It is shownthat graphs with intersection arrays {15, 12, 1; 1, 2, 15}, {35, 32, 1; 1, 2, 35}, and {39, 36, 1; 1, 2, 39} are not vertex-symmetric.
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About the authors
I. N. Belousov
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: i_belousov@mail.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002
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