立方体Q3的边传递循环覆盖

王倩; 李佳佳; 卢俊; 潘江敏

doi:10.7540/j.ynu.20140623

王倩, 李佳佳, 卢俊, 潘江敏. 立方体Q3的边传递循环覆盖[J]. 云南大学学报(自然科学版), 2015, 37(1): 1-4. doi: 10.7540/j.ynu.20140623

引用本文:

王倩, 李佳佳, 卢俊, 潘江敏. 立方体Q3的边传递循环覆盖[J]. 云南大学学报(自然科学版), 2015, 37(1): 1-4. doi: 10.7540/j.ynu.20140623

WANG Qian, LI Jia-jia, LU Jun, PAN Jiang-min. On edge-transitive cyclic coverings of the hypercube Q3[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(1): 1-4. DOI: 10.7540/j.ynu.20140623

Citation:

WANG Qian, LI Jia-jia, LU Jun, PAN Jiang-min. On edge-transitive cyclic coverings of the hypercube Q3[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(1): 1-4. DOI: 10.7540/j.ynu.20140623

立方体Q3的边传递循环覆盖

On edge-transitive cyclic coverings of the hypercube Q3

摘要

摘要: 利用覆盖图的电压赋值理论和有限群论知识,完全确定了立方体Q3的边传递循环覆盖图.此外,证明了这些覆盖图是弧传递的,并得到了覆盖图为2-弧传递的条件.

Abstract: By using voltage assignment theory of coverings and certain knowledge of finite group theory,we determine all edge-transitive cyclic coverings of the hypercube Q3.Moreover,we prove that all such coverings are arc-transitive,and work out the conditions when the coverings are 2-arc-transitive.

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