報(bào) 告 人:鄧波 教授
報(bào)告題目:Construction for the sequences of Q-Borderenergetic Graphs
報(bào)告時(shí)間:2023年9月18日(周一)下午15:30
報(bào)告地點(diǎn):靜遠(yuǎn)樓1508學(xué)術(shù)報(bào)告廳
主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報(bào)告人簡(jiǎn)介:
鄧波,教授,博士生導(dǎo)師,南開(kāi)大學(xué)博士后(2015-2017),現(xiàn)就職于青海師范大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院,目前擔(dān)任院長(zhǎng)助理,兼任青海省數(shù)學(xué)學(xué)會(huì)秘書(shū)長(zhǎng),從事專(zhuān)業(yè)為應(yīng)用數(shù)學(xué),主要研究領(lǐng)域?yàn)榇鷶?shù)圖論、化學(xué)圖論。在《Linear Algebra and its Applications》、《MATCH Communications in Mathematical and in Computer Chemistry》和《Linear and Multilinear Algebra》等學(xué)術(shù)刊物發(fā)表論文近80余篇,先后主持和參與國(guó)家級(jí)、省級(jí)科研項(xiàng)目10余項(xiàng)。
報(bào)告摘要:
This research intends to construct a signless Laplacian spectrum of the complement of any k-regular graph G with order n. Trough application of the join of two arbitrary graphs, a new class of Q-borderenergetic graphs is determined with proof. As indicated in the research, with a regular Q-borderenergetic graph, sequences of regular Q-borderenergetic graphs can be constructed. Te procedures for such a construction are determined and demonstrated. Significantly, all the possible regular Q-borderenergetic graphs of order 7<n≤10 are determined.