Geodesic
Modified Wiener indices of thorn trees
Kragujevac Journal of Mathematics, Tome 27 (2005) no. 1.

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MODIFIED WIENER INDICES OF THORN TREESBo Zhou Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China (e-mail: zhoubo@scnu.edu.cn)(Received December 14, 2004) Abstract. The l-modified Wiener index mWl provides a class of structure-descriptors to measure the branching of the carbon-atom skeleton molecules. A thorn tree is formed by attaching some new vertices of degree one to each vertex of the parent tree. An explicit expression is deduced enabling the calculation of the k-modified Wiener index of a type of thorn tree in terms of the i-modified Wiener indices of the parent tree for any natural number k with 0 Ł i Ł k. 
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Bo Zhou. Modified Wiener indices of thorn trees. Kragujevac Journal of Mathematics, Tome 27 (2005) no. 1. http://geodesic.mathdoc.fr/item/KJM_2005_27_1_a0/