報 告 人:鄧波 教授
報告題目:Construction for the sequences of Q-Borderenergetic Graphs
報告時間:2023年9月18日(周一)下午15:30
報告地點:靜遠樓1508學術報告廳
主辦單位:數學與統計學院、數學研究院、科學技術研究院
報告人簡介:
鄧波,教授,博士生導師,南開大學博士后(2015-2017),現就職于青海師范大學數學與統計學院,目前擔任院長助理,兼任青海省數學學會秘書長,從事專業為應用數學,主要研究領域為代數圖論、化學圖論。在《Linear Algebra and its Applications》、《MATCH Communications in Mathematical and in Computer Chemistry》和《Linear and Multilinear Algebra》等學術刊物發表論文近80余篇,先后主持和參與國家級、省級科研項目10余項。
報告摘要:
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.