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Finite s-geodesic transitive graphs

发布日期:2018/10/18

演讲人Speaker:靳伟

题目Title: Finite s-geodesic transitive graphs

时间Date20181015Time1430

地点VenueA310

内容摘要Abstract

In a finite graph $\Gamma$, a geodesic from a vertex $u$ to a vertex $v$ is one of the shortest pathsfrom $u$ to $v$, and this geodesic is called an $i$-geodesic if the distance between $u$ and $v$ is $i$.The graph $\Gamma$ is said to be s-geodesic transitive if the graph automorphism group is transitiveon the set of s-geodesics. In this talk, I will compare the s-geodesic transitivity with other twowell-known transitive properties, namely s-arc transitivity and s-distance transitivity and determine the local structureof 2-geodesic transitive graphs, and also give some results about the family of locally disconnected 2-geodesic transitive but not 2-arc transitive graphs.


个人简介(About the speaker):

靳伟博士, 江西财经大学博士生导师,江西省“杰青”,副教授,博士毕业于西澳大利亚大学,师从澳大利亚科学院院士,国际数学联盟(IMU)执委会委员,国际数学教育委员会(ICMI)副主席 Cheryl Praeger 教授。巴西米纳斯吉拉斯联邦大学博士后。他本人曾在澳大利亚昆士兰大学,拉筹伯大学和斯洛文尼亚Primorska大学访问学习。目前主持国家自然科学基金两项,以及多项省部级课题,发表SCI学术论文三十多篇。