The spectral radius of graphs with fractional matching number

Qian-Qian Chen, Ji-Ming Guo

Let ${\mathcal{G}}_{n,{\beta }^{\ast }}$ $({\mathcal{G}}_{n,{\beta }^{\ast }}^{\ast })$ be the set of all (connected) graphs of order $n$ with fractional matching number ${\beta }^{\ast }$. In this paper, the graphs with maximal…