Email this article On automorphisms of a distance-regular graph with intersection array {99, 84, 1; 1, 12, 99}
- Authors: Belousov I.N.1,2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 297, No Suppl 1 (2017)
- Pages: 19-26
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174725
- DOI: https://doi.org/10.1134/S0081543817050030
- ID: 174725
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Abstract
We find possible orders and fixed point subgraphs of a hypothetical distance-regular graph with intersection array {99, 84, 1; 1, 12, 99}. We show that, for a vertex-symmetric graph Γ with intersection array {99, 84, 1; 1, 12, 99}, its automorphism group is a {2, 3, 5}-group.
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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