文献类型：期刊文献

英文题名：The spectral radius of graphs with fractional matching number

作者：Chen, Qian-Qian[1]; Guo, Ji-Ming[1]

机构：[1] Department of Mathematics, East China University of Science and Technology, Shanghai, China

年份：2023

外文期刊名：arXiv

收录：EI(收录号：20230087602)

语种：英文

外文关键词：Matrix algebra

摘要：Let Gn,β? (G?n,β?) be the set of all (connected) graphs of order n with fractional matching number β?. In this paper, the graphs with maximal spectral radius in Gn,β? and G?n,β? are characterized, respectively. Moreover, a lower bound for the spectral radius in graphs with order n to guarantee the existence of a perfect fractional matching is also given, which generalizes the main result of O [Suil O, Spectral radius and matchings in graphs, Linear Algebra and its Applications, 2020]. Copyright ? 2023, The Authors. All rights reserved.