| 图的Hyper-Wiener指数的综述(英文) |
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| 引用本文： | 林西芹.图的Hyper-Wiener指数的综述(英文)[J].数学理论与应用,2014(4):12-40. |
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| 作者姓名： | 林西芹 |
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| 作者单位： | 山东工商学院数学学院,烟台264005 |
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| 基金项目： | Supported by SDIBT for youth No. 2013QN055 |
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| 摘 要： | 设G是一个图.G的顶点u和v的距离是u和v之间最短路的长度.Wiener指数是G中所有无序顶点对之间距离之和,而Hyper-Wiener指数定义为WW(G)=?∑u,v∈V(G)d(u,v)+?∑u,v∈V(G)d2(u,v),式中的和取遍G的所有顶点对.本文总结了图的Hyper-Wiener指数的最近结论.
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| 关 键 词： | Wiener指数 Hyper-Wiener 指数 |
Recent Results on the Hyper - Wiener Index of Graphs |
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| Lin Xiqin.Recent Results on the Hyper - Wiener Index of Graphs[J].Mathematical Theory and Applications,2014(4):12-40. |
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| Authors: | Lin Xiqin |
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| Institution: | Lin Xiqin ( School of Mathematics, Shandong Institute of Business and Technology, Yantai 264005, China) |
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| Abstract: | Let G be a graph. The distance d（u,v） between the vertices u and v of the graph G is equal to the length of a shortest path that connects u and v. The Wiener index W（G） is the sum of all distances between vertices of G,whereas the Hyper - Wiener index WW（G） is defined as WW（G）=1/2∑u,v∈V（G）d（u,v）＋1/2∑u,v∈V（G）d2（u,v）,with the summation going over all pairs of vertices in G. In this paper, we survey recent results on the Hyper - Wiener index of graphs. |
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| Keywords: | Wiener index Hyper - Wiener index |
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