报告题目:  On the unimodality of average edge cover polynomials

报 告 人：牟丽丽 (辽宁师范大学)

时    间：2021年5月13号 上午 10:00-11:00

地    点：腾讯会议851754215

报告人简介：

牟丽丽，毕业于大连理工大学，分析教研室主任，硕士研究生导师；九三学社辽师大支社副主委；美国麻省理工学院（MIT）访问学者、英国伦敦大学学院（UCL）访问学者；入选辽宁省“百千万人才计划”万层次人才计划，荣获“辽宁师范大学科研先进个人”称号。研究方向为组合数学。

报告摘要:

The concept of the edge cover polynomial was first introduced by Akbari and Oboudi. It was shown to have some interesting properties and connect with many other well known polynomials associated with graphs. Noticing it is often of interest to study the average graph polynomials, especially the work of Brown et al. on average independence polynomials. Specifically, we show that the average edge cover polynomial of order n is reduced to the edge cover polynomial of complete graph K_n, based on which we conclude that the average edge cover polynomial of order n is unimodal and has at least n-3 non-real roots.