报告题目：On the eigenvalues of some algebraically defined graphs : a survey

报告简介：This is a literature review report on the spectrum of some algebraically defined graphs. This family graph giving the best known bounds on extremal problems with forbidden even cycles, and also gives the explicit construction of semisymmetric graphs. Despite this, little is known about the spectrum and expansion properties of these graphs. In 2014, Cioaba et al completely described the spectrum of the Wenger graph. These same authors popularized their research methods in 2017. Then Cao et al. determined the eigenvalues of linear Wenger graphs. In 2017, Moorhouse et al determined the eigenvalue of D(k,q) for k=4 and verified the conjecture of Ustimenko. Recently, Gupta et al verified this conjecture for the case of k = 5, 6. In this survey, we will introduce the research methods in these papers.

报告人：杨富元，茅台学院教师，主要从事代数与图论研究。在期刊《Axioms》 和《Bulletin of the Malaysian Mathematical Sciences Society》上发表论文数篇。

报告时间：2022年11月22日（星期二）下午 19:00-21:00

报告地点：腾讯会议，ID：729 254 127

主办单位：扬州大学数学科学学院

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