报告题目:Approximation Algorithms for Minimum Weight Connected Dominating Set
报告人:张昭 特聘教授(浙江师范大学)
报告时间:2023 年 6 月 21 日(星期三) 16:00-17:00
报告地点:海山楼(创新园大厦)A1410
校内联系人:王毅 教授
报告摘要: A connected dominating set (CDS) of a graph G is a vertex set C such that every vertex in V(G)\C has at least one neighbor in C and the subgraph of G induced by C is connected. The goal of the minimum weight connected dominating set problem (MinWCDS) is to find a CDS with the minimum total vertex weight. The best previously known approximation ratio for MinWCDS is (1.35+ε)ln(n), due to Guha and Khuller in 1999. In this talk, I’ll introduce our recent result which breaks the barrier of ln(n), improving the ratio to 2ln∆, where ∆ is the maximum degree of the graph (note that in general, ∆ is much smaller than n).
报告人简介:张昭,浙江师范大学杰出教授,浙江省“钱江学者”特聘教授。主要研究方向为离散优化算法设计与分析,发表学术论文200余篇,被SCI索引140余篇。主持完成了4项国家自然科学基金项目和4项教育部项目,目前主持1项国家自然科学联合基金重点项目。曾获国家自然科学优秀青年基金,入选教育部新世纪优秀人才支持计划,新疆科技进步一等奖等。第八届国务院学位办数学学科评议组成员、中国运筹学会常务理事、中国运筹学会数学规划分会副理事长等。