阶数不超过4的交叉超立方体是点可迁的

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 430-434.

阶数不超过4的交叉超立方体是点可迁的

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

收稿日期:2003-08-08 出版日期:2005-12-30 发布日期:2024-01-08
作者简介:HUANG Jia(1982-),male,native of Jiujiang,Jiangxi,a graduate student of University of Science and Technology of China,engages in graph theory;XU Jun-ming(1949-),male,native of Qianshan, Anhui,a professor of University of Science and Technology of China,M.S.D.,engages in graph theory.
基金资助:
Supported by ANSF(01046102)； Supported by the NNSF of China(10271114)；

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

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received:2003-08-08 Online:2005-12-30 Published:2024-01-08
About author:HUANG Jia(1982-),male,native of Jiujiang,Jiangxi,a graduate student of University of Science and Technology of China,engages in graph theory;XU Jun-ming(1949-),male,native of Qianshan, Anhui,a professor of University of Science and Technology of China,M.S.D.,engages in graph theory.
Supported by:
Supported by ANSF(01046102)； Supported by the NNSF of China(10271114)；

摘要/Abstract

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

关键词: vertex-transitive;edge-transitive;multiply-twisted hypercube;crossed , cube

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

Key words: vertex-transitive;edge-transitive;multiply-twisted hypercube;crossed , cube

中图分类号:

O157

黄佳, 徐俊明. 阶数不超过4的交叉超立方体是点可迁的[J]. 数学季刊, 2005, 20(4): 430-434.

HUANG Jia, XU Jun-ming. Multiply-twisted Hypercube with Four or Less Dimensions is Vertex-transitive[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 430-434.

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