The extremal structures of k-uniform unicyclic hypergraphs on Wiener index |
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Authors: | Xin Zou Zhongxun Zhu Hongyan Lu |
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Affiliation: | 1. Faculty of Mathematics and Statistics, South Central University for Nationalities, Wuhan, China;2. College of Science, Xijing University, Xi'an, China |
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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. |
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Keywords: | distance k-uniform hypergraph Wiener index |
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