| 图的广义Randi\'{c} Estrada 指标的界 |
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| 引用本文： | 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. |
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| 作者姓名： | 高楠 李美丽 折延宏 |
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| 作者单位： | 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 |
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| 基金项目： | 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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| 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.
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| 关 键 词： | Randi\'{c} Estrada 指标 广义Randi\'{c}能量 广义Randi\'{c} Estrada 指标 |
| 收稿时间： | 2016-05-23 |
Bounds of the general Randi\'{c} Estrada index of a graph |
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| GAO Nan,LI Meili,SHE Yanhong.Bounds of the general Randi\'{c} Estrada index of a graph[J].OR Transactions,2017,21(3):103-110. |
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| Authors: | GAO Nan LI Meili SHE Yanhong |
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| Institution: | 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
2. College of Science, Xi'an Shiyou University, Xi'an 710065, China |
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| 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. |
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| Keywords: | Randi\'{c} Estrada index general Randi\'{c} energy general Randi\'{c} Estrada index |
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