Reciprocal complementary Wiener numbers of trees, unicyclic graphs and bicyclic graphs |
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Authors: | Xiaochun Cai Bo Zhou |
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Institution: | aDepartment of Mathematics, South China Normal University, Guangzhou 510631, PR China |
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Abstract: | The reciprocal complementary Wiener number of a connected graph G is defined as where V(G) is the vertex set, d(u,v|G) is the distance between vertices u and v, d is the diameter of G. We determine the trees with the smallest, the second smallest and the third smallest reciprocal complementary Wiener numbers, and the unicyclic and bicyclic graphs with the smallest and the second smallest reciprocal complementary Wiener numbers. |
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Keywords: | Reciprocal complementary Wiener number Wiener number Distance Diameter Trees Unicyclic graphs Bicyclic graphs |
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