Multiply-twisted Hypercube with Four or Less Dimensions is Vertex-transitive  被引量:2

Multiply-twisted Hypercube with Four or Less Dimensions is Vertex-transitive

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作  者:HUANG Jia XU Jun-ming 

机构地区:[1]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

出  处:《Chinese Quarterly Journal of Mathematics》2005年第4期430-434,共5页数学季刊(英文版)

基  金:Supported by ANSF(01046102);Supported by the NNSF of China(10271114)

摘  要:P Kulasinghe and S Bettayeb showed that any multiply-twisted hypercube withfive or more dimensions is not vertex-transitive. This note shows that any multiply-twistedhypercube with four or less dimensions is vertex-transitive, and that any multiply-twistedhypercube with three or larger dimensions is not edge-transitive.

关 键 词:VERTEX-TRANSITIVE EDGE-TRANSITIVE multiply-twisted hypercube crossed cube 

分 类 号:O18[理学—数学]

 

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