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.
作者
徐尚进
XU Shang-jin(Guangxi University,Nanning 530004,China)
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)。
关键词
传递图
偶圈
对边
抽象群
transitive graph
even-cycle
opposite-edge
abstract group
