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This article is cited in 4 scientific papers (total in 4 papers)
Edge-symmetric distance-regular coverings of complete graphs: the almost simple case
A. A. Makhnev, D. V. Paduchikh, L. Yu. Tsiovkina Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990 Russia
Abstract:
We complete the classification of edge-symmetric distance-regular coverings of complete graphs with $r\not\in\{2,k,(k-1)/\mu\}$ 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.
Keywords:
edge-symmetric graph, distance-regular graph, complete graph, covering, antipodal class.
Received: 16.09.2016 Revised: 11.07.2017
Citation:
A. A. Makhnev, D. V. Paduchikh, L. Yu. Tsiovkina, “Edge-symmetric distance-regular coverings of complete graphs: the almost simple case”, Algebra Logika, 57:2 (2018), 214–231; Algebra and Logic, 57:2 (2018), 141–152
Linking options:
https://www.mathnet.ru/eng/al844 https://www.mathnet.ru/eng/al/v57/i2/p214
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Abstract page: | 298 | Full-text PDF : | 23 | References: | 36 | First page: | 6 |
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