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The extremal structures of k-uniform unicyclic hypergraphs on Wiener index
Authors:Xin Zou  Zhongxun Zhu  Hongyan Lu
Affiliation:1. Faculty of Mathematics and Statistics, South Central University for Nationalities, Wuhan, China;2. College of Science, Xijing University, Xi'an, China
Abstract:The Wiener index of a connected k-uniform hypergraph is defined as the summation of distances between all pairs of vertices. We determine the unique k-uniform unicyclic hypergraphs with maximum and second maximum, minimum and second minimum Wiener indices, respectively.
Keywords:distance  k-uniform hypergraph  Wiener index
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