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Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (2): 248-252    DOI:
    
Hyper-Wiener index of Eulerian graphs
HOU Yuan1, CHEN Yu-li1, ZHENG Yi-rong2
1. Zhicheng Collage, Fuzhou University, Fuzhou 350002, China
2. Department of Applied Mathematics, Xiamen University of Technology , Xiamen 361024, China
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Abstract  Let $\varepsilon_{n}$ be the set of Eulerian graphs on $n$ vertices. In this paper, we discussed the properties of hyper-Wiener index of Eulerian graphs, characterized Eulerian graphs with smallest and greatest hyper-Wiener indices.

Key wordshyper-Wiener index      Wiener index      Eulerian graphs     
Received: 30 December 2014      Published: 17 May 2018
CLC:  O157.6  
Cite this article:

HOU Yuan, CHEN Yu-li, ZHENG Yi-rong. Hyper-Wiener index of Eulerian graphs. Applied Mathematics A Journal of Chinese Universities, 2016, 31(2): 248-252.

URL:

http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2016/V31/I2/248


欧拉图的hyper-Wiener指标

$\varepsilon_{n}$表示$n$个顶点欧拉图的集合. 通过对欧拉图hyper-Wiener指标性质的研究, 刻画了$\varepsilon_{n}$中具有最小和最大hyper-Wiener指标的极图.

关键词: hyper-Wiener指标,  Wiener指标,  欧拉图 
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