有限传递图的偶圈对边集  

The Set of Even-cycle Opposite-edges of the Finite Transitive Graph

作　　者：徐尚进[1] XU Shang-jin(Guangxi University,Nanning 530004,China)

机构地区：[1]广西大学,广西南宁530004

出　　处：《南宁师范大学学报（自然科学版）》2021年第2期1-13,共13页Journal of Nanning Normal University：Natural Science Edition

基　　金：国家自然科学基金项目(10961004,11361006,11461004,11861012);广西自然科学基金项目(2015GX NSFAA139001)。

摘　　要：该文引入并研究传递图的偶圈对边集,进而利用偶圈对边集的图论性质证明了具有6-圈的某些二面体群Cayley图的正规性.偶圈对边集的概念新颖,涉及的是图的传递性问题,运用的是抽象群的理论.In this paper,we introduce and research the set of even-cycle opposite-edges of transitive graphs.By using the graph theory properties of the sets,we prove the normality of Cayley graphs of some dihedral groups with 6-cycles.The concept of even-cycle opposite-edge set is original,aiming at the transitivity of graphs and using the theory of abstract groups.

关 键 词：传递图 偶圈 对边 抽象群 

分 类 号：O157.5[理学—数学]