On the Harary index of graph operations

被引：24
|
作者：
Das, Kinkar C. [1 ]
Xu, Kexiang [2 ]
Cangul, Ismail Naci [3 ]
Cevik, Ahmet Sinan [4 ]
Graovac, Ante [5 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
[2] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing, Jiangsu, Peoples R China
[3] Uludag Univ, Fac Arts & Sci, Dept Math, TR-16059 Bursa, Turkey
[4] Selcuk Univ, Dept Math, Fac Sci, TR-42075 Campus, Konya, Turkey
[5] Univ Split, Fac Sci, HR-21000 Split, Croatia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
基金：
新加坡国家研究基金会; 中国博士后科学基金;
关键词：
graph; Harary index; graph operations; WIENER INDEX; TOPOLOGICAL INDEXES; HYPER-WIENER; TREES;
D O I：
10.1186/1029-242X-2013-339
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and disjunction of graphs are derived and the indices for some well-known graphs are evaluated. In derivations some terms appear which are similar to the Harary index and we name them the second and third Harary index.
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页数：16
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