报告题目：Quasi-Vertex/arc-pancyclicities in multipartite tournaments
报 告 人：Guo Yubao 教授(Institute for Mathematics of Information Processing RWTH Aachen University, 52056 Aachen, Germany)
会议时间：2023年12月26日 下午4：00开始
会议地点：包玉书9号楼113报告厅
报告摘要：A vertex (an arc, respectively) of a digraph D is called pancyclic, if it lies on a cycle of length t for all t \in \{3,…,|V(D)|}. Moon (On subtournaments of a tournament. Canad. Math. Bull. 9, 1966) proved that every strong tournament is vertex-pancyclice and Alspach (On Cycles of each length in regular tournaments. Canad. Math. Bull. 10, 1967) confirmed that every regular tournament is arc-pancyclic. Since multipartite tournaments don’t have the same vertex- and arc-pancyclicities as tournaments, we have tried to extend the classical cycle concept to multipartite tournaments in various ways. In this talk, we will give an overview of quasix-pancyclicityes, x \in \{p,l,o,nl,ps\}, and pandashcyclicity in multipartite tournaments, and leave a few open problems on this topic.
报告人简介：郭余宝教授曾任亚琛工业大学数学研究C所代理所长 (W3)，亚琛工业大学驻中国 (北京)办事处主任，兼任德国“德中合作汤若望协会”副主席等职，是扬州大学、东南大学、重庆大学、山西大学等高校的客座教授，曾入选山西省百人计划。2019年10月1日，受邀参加建国70周年国庆观礼。多年来，一直热衷于中德两国之间的学术和文化交流，促成亚琛工业大学与国内多所院校建立友好校际关系。2022年4月任“江苏省侨联助梦大使”。