报告题目：List version of 1-2-3 conjecture

报告时间：2023-12-29   10:00-11:00

报 告 人 ：朱绪鼎   教授   浙江师范大学

报告地点：理学院东北楼四楼学术报告厅（404）

Abstract：The well-known 1-2-3 Conjecture by Karoński, Łuczak and Thomason states that the edges of any connected graph with at least three vertices can be assigned weights 1, 2 or 3 so that for each edge uv the sums of the weights at u and at v are distinct. This conjecture is recently confirmed by Ralph Keusch. The list version of the 1-2-3 Conjecture proposed by Bartnicki, Grytczuk and Niwczyk states that the same holds if each edge e has the choice of weights not necessarily from {1,2,3}, but from any set {x(e),y(e),z(e)} of three real numbers. The goal of this talk is to survey developments on the 1-2-3 Conjecture, and its list version.