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2-Arc-transitive regular covers of complete graphs having the covering transformation group Z(p)(3)
Du, SF ; Kwak, JH ; Xu, MY
2005
关键词arc-transitive graph covering graph lifting 2-transitive group linear group 2-ARC TRANSITIVE GRAPHS PERMUTATION-GROUPS AUTOMORPHISMS
英文摘要A family of 2-arc-transitive regular covers of a complete graph is investigated. In this paper, we classify all such covering graphs satisfying the following two properties: (1) the covering transformation group is isomorphic to the elementary abelian p-group Z(P)(3), and (2) the group of fiber-preserving automorphisms acts 2-arc-transitively. As a result, new infinite families of 2-arc-transitive graphs are constructed. (C) 2004 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000225511100006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 30; ARTICLE; 1; 73-93; 93
语种英语
出处SCI
出版者journal of combinatorial theory series b
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/254183]  
专题数学科学学院
推荐引用方式
GB/T 7714
Du, SF,Kwak, JH,Xu, MY. 2-Arc-transitive regular covers of complete graphs having the covering transformation group Z(p)(3). 2005-01-01.
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