On the Two Conjectures of the Wiener IndexReport as inadecuate



 On the Two Conjectures of the Wiener Index


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The Wiener index of a graph, which is the sum of the distances between all pairs of vertices, has been well studied. Recently, Sills and Wang in 2012 proposed two conjectures on the maximal Wiener index of trees with a given degree sequence. This note proves one of the two conjectures and disproves the other.



Author: Ya-Lei Jin; Xiao-Dong Zhang

Source: https://archive.org/







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