On reciprocal reverse Wiener index |
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Authors: | Bo Zhou Yong Yang Nenad Trinajsti? |
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Institution: | 1.Department of Mathematics,South China Normal University,Guangzhou,China;2.Department of Mathematics,Foshan University,Foshan,China;3.The Rugjer Bo?kovi? Institute,Zagreb,Croatia |
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Abstract: | We report some properties, especially bounds for the reciprocal reverse Wiener index of a connected (molecular) graph. We
find that the reciprocal reverse Wiener index possesses the minimum values for the complete graph in the class of n-vertex connected graphs and for the star in the class of n-vertex trees, and the maximum values for the complete graph with one edge deleted in the class of n-vertex connected graphs and for the tree obtained by attaching a pendant vertex to a pendant vertex of the star on n − 1 vertices in the class of n-vertex trees. These results are compared with those obtained for the ordinary Wiener index. |
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