报 告 人:郭余宝 教授
报告题目:Quasi-vertex/arc-pancyclicities in multipartite tournaments
报告时间:2023年9月16日(周六)下午2点30
报告地点:静远楼1508学术报告厅
主办单位:数学与统计学院、数学研究院、科学技术研究院
报告人简介:
郭余宝教授现任亚琛工业大学信息处理数学研究所代理所长、德中高质量发展研究院院长、曾任亚琛工业大学驻中国(北京)办事处主任、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。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”。
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 2 f3; : : : ; jV (D)jg. Moon (On subtournaments of a tournament. Canad. Math. Bull. 9, 1966) proved that every strong tournament is vertex-pancyclic and Alspach (On Cycles of each length in regular tournaments. Canad. Math. Bull. 10, 1967) con_rmed that every regular tournament is arcpancyclic.Since multipartite tournaments don't have the same vertex- and arc-pancyclicities as tournamnets, we have tried to extend the classical cycle concept to multipartite tourna-ments in various ways.
In this talk, we will give an overview of quasi x-pancyclicities, x 2 fp, l, o, nl, psg, and pandashcyclicity in multipartite tournaments, and leave a few open problems on this topic.