The edge-Turán-type problem can be formulated as follows: Determine the maximum spectral radius of an F-free graph with m edges.  In this talk, I will present our recent work on this well-known problem. They are closely related to several conjectures and open problems. If time permits, we propose some further research issues along this line. This is joint work with Wanting Sun, Yuantian Yu, Wei Wei, Sishu Zhao, and Lantao Zou.

李书超，华中师范大学数学与统计学学院教授，博士生导师。近期主要研究方向为极值图论与图谱理论，相继在Journal of Graph Theory, European Journal of Combinatorics, Advances in Applied Mathematics等多个重要国际学术期刊发表高质量学术论文100余篇；主持国家自然科学基金项目5项；入选教育部``新世纪优秀人才支持计划"；主持完成的项目``图的几类不变量的研究"获湖北省自然科学奖三等奖；担任中国运筹学会图论组合分会常务理事、中国工业与应用数学学会图论组合及其应用专委会常务委员。