似星树匹配能的极图

The Extremal Graphs with Respect to the Matching Energy in Starlike Trees

一个图G的能量等于图G的特征值的绝对值。最近Gutman和Wagner提出图G的匹配能定义为■,其中u1,u2,…,un为图G的匹配多项式的根。在此文中,我们主要确定了似星树匹配能的极图。

The energy of a graph G is equal to the sum of absolute values of its eigenvalues of G.The matching energy(ME)of a graph G is recently proposed by Gutman and Wagner,who pointed out that its chemical applications could be traced back to the 1970s.It is defined as the sum∑ni=1|ui|,where u 1,u 2,…u n are the zeros of matching polynomial of G.In this paper,we determine the extremal graphs for starlike trees.