In this note,we correct a wrong result in a paper of Das et al.with regard to the comparison between the Wiener index and the Zagreb indices for trees(Das K C,Jeon H,Trinajsti N.The comparison between the Wiener index and the Zagreb indices and the eccentric connectivity index for trees.Discrete Appl.Math.,2014,171: 35–41),and give a simple way to compare the Wiener index and the Zagreb indices for trees.Moreover,the comparison between the Wiener index and the Zagreb indices for unicyclic graphs is carried out.
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