树的Laplace特征多项式的系数序

Coefficient order of the Laplace characteristic polynomial of tree

图的Laplace特征多项式定义为:,Zhou和Gutman[1]证明了对所有个顶点树的Laplace特征多项式的系数序有:,其中与分别是个点的星图和路图。本文在给定第一大顶点度和第二大顶点度的个顶点的树中,得到Laplace系数最大的树。

Laplace characteristic polynomial of G is defined as:,Zhou and Gutman proved that the coefficients order of Laplace characteristic polynomial of all vertices of tree is:Among them, and are a bit map and diagram. In this paper, in the tree of the first vertex and second vertex given, to obtain the largest tree of Laplace coefficients.