报告人：马天龙，厦门大学博士生

报告人简介：马天龙，曾任职青海大学副教授，目前在厦门大学攻读博士生学位，担任美国《Mathematical Reviews》评论员。目前主要从事拟阵的Tutte多项式、图的匹配相关课题的研究。在Electron. J. Combin.，J. Comb. Optim.，Discrete Appl. Math.，Theoret. Comput. Sci.等期刊发表论文20余篇。

题目：Maximum size of a graph with given fractional matching number

时间：2023年5月5日（星期五）下午2：30-5：30

地点：青海师范大学城西校区理科楼126教室

摘要：For three integers n,k,d, we determine the maximum size of a graph on n vertices with fractional matching number k and maximum degree at most d. As a consequence, we obtain the maximum size of a graph with given number of vertices and fractional matching number. This partially confirms a conjecture proposed by Alon et al. in [J. Combin. Theory Ser. A 119 (2012) 1200–1215] on the maximum size of r-uniform hypergraph with a fractional matching number for the special case when r=2. This is a joint work with Jianguo Qian and Chao Shi.