講座主題:Nilpotent Primer Hypermaps with Hypervertices of Valency a prime
專家姓名:袁凱
工作單位:首都師范大學(xué)
講座時(shí)間:2018年5月10日上午10:30-11:30
講座地點(diǎn):煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院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:
A (face-)primer hypermap is a regular oriented hypermap whose Group G of the orientation-preserving automorphisms acts faithfully on its hyperfaces. We investigate the primer hypermaps H such that G is nilpotent and the hypervertex-valency is a prime p (simply call them PNp hypermaps).
We prove that G is a finite p-group and the number of hyperfaces of any PNp hypermap is bounded by a function of the nilpotent class of G. Moreover, we show that for any integer c>1, there is a unique PNp hypermap H_c of class c attaining the bound and every other PNp hypermap H of the class at most c is a quotient of H_c.
主講人介紹:
本科、碩士畢業(yè)于煙臺(tái)大學(xué),,現(xiàn)為首都師范大學(xué)在讀博士,。
講座主題:The automorphisms of bi-Cayley graphs
專家姓名:周進(jìn)鑫
工作單位:北京交通大學(xué)
講座時(shí)間:2018年5月11日上午8:30-9:30
講座地點(diǎn):煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院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:
A bi-Cayley graph G is a graph which admits a semiregular group H of automorphisms with two orbits. In this talk, I shall introduce some of our recent work regarding the automorphisms of bi-Cayley graphs.
主講人介紹:
畢業(yè)于北京交通大學(xué),現(xiàn)為北京交通大學(xué)教授,。主要從事圖的對(duì)稱性,、地圖計(jì)數(shù)、網(wǎng)絡(luò)的可靠性及容錯(cuò)性等方面研究工作,,主持多項(xiàng)國(guó)家自然科學(xué)基金項(xiàng),,發(fā)表SCI 檢索論文40 余篇,其中多篇發(fā)表在《Combinatorica》,、《J. Combin. Theory Ser. A》,、《J. Combin. Theory Ser. B》、《J. Graph Theory》,、《European J. Combin.》,、《J.Algebraic Combin.》、《IEEE Trans Comput.》等組合及計(jì)算機(jī)領(lǐng)域的權(quán)威期刊上,。