Ordering of bicyclic graphs by matching energy

Xiangxiang Liu, Ligong Wang, Peng Xiao

Let $G$ be a simple graph of order $n$ and ${\mu }_1,{\mu }_2,\dots ,{\mu }_n$ be the roots of its matching polynomial. The matching energy is defined as the sum ${\sum }_{i=1}^n|{\mu }_i|$, wh…