图的广义Randi Estrada指标的界  

Bounds of the general Randi Estrada index of a graph

作　　者：高楠[1,2] 李美丽[2] 折延宏[2] GAO Nan1 2 LI Meili2 SHE Yanhong2

机构地区：[1]西北工业大学应用数学系,西安710072 [2]西安石油大学理学院,西安710065

出　　处：《运筹学学报》2017年第3期103-110,共8页Operations Research Transactions

基　　金：国家自然科学基金(No.61472471);陕西省教育厅专项科研计划项目(No.15JK1573)

摘　　要：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.

关 键 词：Randic Estrada指标 广义Randic能量 广义Randic Estrada指标 

分 类 号：O157.5[理学—数学]