Edge-Symmetric Distance-Regular Coverings of Complete Graphs: the Almost Simple Case


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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.

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A. Makhnev

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences

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Email: makhnev@imm.uran.ru
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990

D. Paduchikh

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences

Email: makhnev@imm.uran.ru
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990

L. Tsiovkina

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences

Email: makhnev@imm.uran.ru
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990

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