Properties of Similar Wiener Index of Three Types of BC-tree

Yong Zhao · 2011

The wiener index is maximized by star tree and minimized by path tree on n vertices trees.In this paper,we give out the concepts of similar wiener-1 index and similar wiener-2 index,and also prove out the similar wiener-1 index of BC-tree is not smaller than its similar wiener-2 index;meanwhile,we give out the relationship between similar wiener-1 index and similar wiener-2 index of star-BC-tree,k-extended star BC-tree and caterpillar-BC-tree.

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