講座主題：Weakly symmetric hexavalent graphs of order 9p
主講人：郭松濤
工作單位：河南科技大學
講座時間：2019.6.24上午10:00-11:00
講座地點：數(shù)學院大會議室341
主辦單位：煙臺大學數(shù)學與信息科學學院
內(nèi)容摘要：
A graph is called weakly symmetric if its full automorphism group is transitive on both its vertices and edges. In this talk, we classify hexavalent weakly symmetric graphs of order 9p for each odd prime p. Since 9p is an odd number, such graphs are arc-transitive or half-arc-transitive. For arc-transitive case, we show that there are eight sporadic graphs and six infinite families, and all are 1-transitive. For half-arc-transitive case, we show that there are four infinite families, and all are metacirculants.
主講人介紹：
郭松濤，副教授。2009年廣西大學碩士畢業(yè)，2012年北京交通大學博士畢業(yè)，現(xiàn)就職于河南科技大學數(shù)學與統(tǒng)計學院，從事代數(shù)圖論、組合網(wǎng)絡等方面的研究。主持國家自然科學青年基金1項，被評為河南科技大學青年學術帶頭人。在J. Combin.Theory B, J. Algebraic Combin., Electronic J. Combin., Discrete Math., Algebra Colloquium, Acta Math. Appl.(Sinica English Series)等國內(nèi)外著名期刊上發(fā)表論文28篇，被SCI檢索論文16篇。
