1. Zhicheng Collage, Fuzhou University, Fuzhou 350002, China
2. Department of Applied Mathematics, Xiamen University of Technology , Xiamen 361024, China
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.
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.