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数苑讲坛2024(十九):Signed graph with exactly two dictinct main eigenvalues

发布日期:2024-05-08 浏览次数:

报告题目:Signed graph with exactly two dictinct main eigenvalues

人:尤利华,华南师范大学

报告时间:2024515日(周三)下午1500-1600

报告地点:龙洞校区行政楼610

人:何伟骅

报告摘要:An eigenvalue λ of a signed graph S of order n is a main eigenvalue if its eigenspace is not orthogonal to the all-ones vector j. Characterizing the signed graphs with exactly k(1≤k≤n) main eigenvalues is a problem in algebraic and graph theory that has been studied in 2020 , and a signed graph has exactly one main eigenvalue if and only if it is netregular is noticed by Z. Stanić. In this talk, we introduce the research progress and main results of signed graphs with exactly two distinct eigenvalues, and propose some problems for further research.

专家简介:尤利华,博士,华南师范大学教授,博士生导师,主要从事组合矩阵论、图谱理论和张量超图谱研究,发表SCI收录论文60余篇,先后主持5项国家自然科学基金委基金项目、3项广东省自然科学基金委基金项目和1项广州市科信局基金项目。2011年,入选广州市首批珠江科技新星。

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