Email this article Edge-Symmetric Distance-Regular Coverings of Complete Graphs: the Almost Simple Case
- Authors: Makhnev A.A.1, Paduchikh D.V.1, Tsiovkina L.Y.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
- Issue: Vol 57, No 2 (2018)
- Pages: 141-152
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234081
- DOI: https://doi.org/10.1007/s10469-018-9486-5
- ID: 234081
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Abstract
We complete the classification of edge-symmetric distance-regular coverings of complete graphs with r /∉ {2, k, (k − 1)/μ} for the case of the almost simple action of an automorphism group of a graph on a set of its antipodal classes; here r is the order of an antipodal class.
About the authors
A. A. Makhnev
Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
Author for correspondence.
Email: makhnev@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990
D. V. Paduchikh
Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
Email: makhnev@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990
L. Yu. Tsiovkina
Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences
Email: makhnev@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990
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