双星图的(拟)拉普拉斯能量

The Laplacian Energy (Laplacian-Energy-Like Invariant) of Double-Star Graphs

探讨双星图DS(r,s)中r=s,r≠s这两种情况下分别得到的拉普拉斯特征多项式,再将盛金公式和韦达定理应用到特征多项式的一元三次方程中,得到双星图DS(r,s)中r=s时的拉普拉斯能量,拟拉普拉斯能量和拉普拉斯Estrada指标的值,以及r≠s时的拉普拉斯能量和拟拉普拉斯能量的上界。

The Laplacian Polynomials of the Double-Star Graphs was obtained by discussing in the two cases r=s or r≠s respectively. When r=s , by applying Shengjin＇s Formulas and Yieta Theorem into univari-ate cubic equations of the Laplacian Polynomials, the values of the laplacian energy, Laplacian-energy-like invariant and Laplacian Estrada index were got. When r ≠ s , the upper bounds of the Laplacian Energy and Laplacian-energy-like invariant were obtained.