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Hua, Hongbo; Das, Kinkar Ch
Applied mathematics and computation, 04/2016, Letnik: 280Journal Article
The Wiener polarity index W sub(p)(G) of a graph G is the number of unordered pairs of vertices {u, v} in G such that the distance between u and v is equal to 3. Very recently, Zhang and Hu studied the Wiener polarity index in Y. Zhang, Y. Hu, 2016 38. In this short paper, we establish an upper bound on the Wiener polarity index in terms of Hosoya index and characterize the corresponding extremal graphs. Moreover, we obtain Nordhaus-Gaddum-type results for W sub(p)(G ). Our lower bound on View the MathML source Wp(G)+Wp(Gmacr) is always better than the previous lower bound given by Zhang and Hu.
