Digraph from power mapping on noncommutative groups

发布者:王丹丹发布时间:2023-11-15浏览次数:10

江苏省应用数学(williamhill威廉希尔官网)中心系列学术报告

报告题目:Digraph from power mapping on noncommutative groups

报告时间:111716-17

报告地点:线上,腾讯号:764-621-932

报告摘要:Let X be a group and k be a positive integer. The k-power digraph G(X, k) is consisting of vertex set X and there is a directed edge from x to y if and only if x^k = y. We study the k-power digraph on the semiproduct of cyclic groups. In particular, we obtain the distribution of indegree and cycles, and determine the structure of trees attached with vertices of power digraph. Finally, we establish a necessary and sufficient ccondition for isomorphism of digraphs G(X, k1) and G(X, k2).

报告人简介:赵金星,内蒙古大学数学科学学院副教授,硕士研究生导师,2017年大连理工大学博士毕业,主要研究方向为代数图论;近三年主持国家自然科学基金1项,主持内蒙古自然科学基金2项,主持内蒙古大学高层次人才引进科研启动项目;主持内蒙古大学教学改革项目三项,主持内蒙古教育厅教学改革项目一项;主持内蒙古自治区科技厅重点研发与成果转化项目和软科学等科研课题6项;主持省级横向课题10项,发表论文30余篇,其中被sci检索论文18篇。