On the distance spectral radius, fractional matching and factors of graphs with given minimum degree

Zengzhao Xu, Weige Xi, Ligong Wang

A fractional matching of $G$ is a function $f:E(G)\to [0,1]$ such that ${\sum }_{e\in E_G(v_i)}f(e)\le 1$ for any $v_i\in V(G)$, where $E_G(v_i)=\{e: e\in E(G) \ \textrm{and}\ e \ \t…