图的广义Randi Estrada指标的界

Bounds of the general Randi Estrada index of a graph

受图的Randi Estrada指标和广义Randic能量的启发,定义了图的广义Randi Estrada指标.利用代数方法和初等分析方法给出了n阶简单连通图和r-正则图的广义Randi Estrada指标的上下界,推广了Bozkurt等人有关Randi Estrada指标的结论.

Motivated by the Randic Estrada index and the general Randic energy of a graph, we define the concept of general Randic Estrada index of a graph. By using the algebraic and elementary analysis method, we obtain lower and upper bounds for the general Raadic Estrada index of a simple connected graph of order n and an r-regular graph, which generalize the results of Bozkurt et. al. on the Randic Estrada of a graph.