Characterizing the extremal graphs with respect to the eccentricity eigenvalues, and beyond
主 講 人 :?李書超 教授
活動時間:12月11日19時30分
地 點 :騰訊會議(會議ID: ID:493316505,密碼2513)
講座內容:
Given a graph G, the eccentricity matrix e(G) is constructed from the distancematrix of G by keeping only the largest nonzero elements for each row and eachcolumn and leaving zeros for the remaining ones. In this talk we first focus on someelementary and non-trivial properties on this novel matrix. Then wecharacterize the extremal graphs with respect to the eccentricity eigenvalues(including the largest and smallest eigenvalues). As a consequence, we solve two conjecturesproposed by Wang et al. (2018).
主講人介紹:
李書超,華中師范大學數學與統計學學院教授、博士生導師。研究方向是組合數學、圖論及其應用。先后在European Journal ofCombinatorics, Journal of Algebraic Combinatorics, Journal of CombinatorialDesigns、Journal of Combinatorial Optimization等國際SCI期刊發表學術論文100余篇,主持、參與國家自然科學基金多項。 2012主持完成的項目“圖的幾類重要不變量研究”獲湖北省自然科學獎;2013年入選“教育部新世紀優秀人才支持計劃”。
發布時間:2020-12-10 11:04:08