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运筹学学报 >

2017 , Vol. 21 >Issue 3: 103 - 110

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2017.03.011

运筹学

图的广义Randi\'{c} Estrada 指标的界

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  • 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

收稿日期: 2016-05-23

  网络出版日期: 2017-09-15

基金资助

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)

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Bounds of the general Randi\'{c} Estrada index of a graph

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  • 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China 2. College of Science, Xi'an Shiyou University, Xi'an 710065, China

Received date: 2016-05-23

  Online published: 2017-09-15

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摘要

受图的Randi\'{c} Estrada 指标和广义 Randi\'{c} 能量的启发,  定义了图的广义 Randi\'{c} 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\'{c} Estrada指标的上下界, 推广了Bozkurt等人有关Randi\'{c} Estrada指标的结论.

关键词： Randi\'{c} Estrada 指标; 广义Randi\'{c}能量; 广义Randi\'{c} Estrada 指标

本文引用格式

高楠, 李美丽, 折延宏 . 图的广义Randi\'{c} Estrada 指标的界[J]. 运筹学学报, 2017 , 21(3) : 103 -110 . DOI: 10.15960/j.cnki.issn.1007-6093.2017.03.011

Abstract

Motivated by the Randi\'{c} Estrada index and the general Randi\'{c} energy of a graph, we define the concept of general Randi\'{c} Estrada index of a graph. By using the algebraic and elementary analysis method, we obtain lower and upper bounds for the general Randi\'{c} 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 Randi\'{c} Estrada of a graph.

Key words： Randi\'{c} Estrada index; general Randi\'{c} energy; general Randi\'{c} Estrada index

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