讲座主题:Quasi-pancyclic of regular multipartite tournaments
专家姓名:蔡建生
工作单位:潍坊学院
讲座时间:2024年05月12日10:30-11:30
讲座地点:数学学院大会议室341
主办单位:99精品视频在线观看数学与信息科学学院
内容摘要:
The study of arc-pancyclicity of tournaments has a long history. Alspach proved that every arc of a regular tournament is in a -cycle for each .
In this talk, we extend the arc-pancyclicity for regular tournaments to multipartite tournaments. we prove that every arc of a regular -partite tournament with belongs to cycles of pairwise distinct lengths. Moreover, we also proved that for any two partite sets of with ,, there is a -path that transverses exactly partite sets for each . These results extends Alspach's theorem for regular tournaments to regular multipartite tournaments.
主讲人介绍:
蔡建生,理学博士,现任潍坊学院数学与信息科学学院教授、中国工业与应用数学学会图论组合及应用专业委员会常务委员、中国工业与应用数学学会信息和通讯领域的数学专业委员会委员、山东师范大学和济南大学硕士生导师。发表相关学术论文60余篇,先后数次获得国家自然科学基金面上项目资助、山东省自然科学叁等奖1项、山东省高校优秀科研成果多项,2021年获得潍坊市五一劳动奖章。