講座主題：Quasi-pancyclic of regular multipartite tournaments
專(zhuān)家姓名：蔡建生
工作單位：濰坊學(xué)院
講座時(shí)間：2024年05月12日10:30-11:30
講座地點(diǎn)：數(shù)學(xué)學(xué)院大會(huì)議室341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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.
主講人介紹：
蔡建生，理學(xué)博士，現(xiàn)任濰坊學(xué)院數(shù)學(xué)與信息科學(xué)學(xué)院教授、中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)圖論組合及應(yīng)用專(zhuān)業(yè)委員會(huì)常務(wù)委員、中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)信息和通訊領(lǐng)域的數(shù)學(xué)專(zhuān)業(yè)委員會(huì)委員、山東師范大學(xué)和濟(jì)南大學(xué)碩士生導(dǎo)師。發(fā)表相關(guān)學(xué)術(shù)論文60余篇，先后數(shù)次獲得國(guó)家自然科學(xué)基金面上項(xiàng)目資助、山東省自然科學(xué)三等獎(jiǎng)1項(xiàng)、山東省高校優(yōu)秀科研成果多項(xiàng)，2021年獲得濰坊市五一勞動(dòng)獎(jiǎng)?wù)隆?/p>
