Equiseparability on Terminal Wiener Index

Wiener index as one of the oldest chemical index has been well studied. It has been extensive used in Computational Biology, Preliminary screening of drugs and Complex Network. Based on variable Wiener index, I.Gutman et al [6] introduced the concept of equiseparable pairs of trees and chemical trees, meanwhile they gave a rule on how to construct such equiseparable pairs. D.Vukic̆ević and I.Gutman [8] proved almost all trees and chemical trees have equiseparable mates, which is a disadvantageous property of many molecular-structure graph-based descriptors. Recently, I.Gutman et al [9] proposed the concept of Terminal Wiener Index, which equals to the summation of distance between all pairs of pendent vertices of trees. Following this line, we explore the properties of terminal Wiener index, and show the fact that there still exist pairs of trees and chemical trees which can not be distinguished by it, therefore we give some general methods to construct equiseparable pairs and compare the methods in the case of Wiener index. More specifically, we show that terminal Wiener index is degenerative to some extent

Equiseparability on terminal Wiener index

The aim of this work is to explore the properties of the terminal Wiener index, which was recently proposed by Gutman et al. (2004) [3], and to show the fact that there exist pairs of trees and chemical trees which cannot be distinguished by using it. We give some general methods for constructing equiseparable pairs and compare the methods with the case for the Wiener index. More specifically, we show that the terminal Wiener index is degenerate to some extent

Equiseparability on terminal Wiener index

The aim of this work is to explore the properties of the terminal Wiener index, which was recently proposed by Gutman et al. (2004) [3], and to show the fact that there exist pairs of trees and chemical trees which cannot be distinguished by using it. We give some general methods for constructing equiseparable pairs and compare the methods with the case for the Wiener index. More specifically, we show that the terminal Wiener index is degenerate to some extent

Equiseparability on terminal Wiener index

The aim of this work is to explore the properties of the terminal Wiener index, which was recently proposed by Gutman et al. (2004) [3], and to show the fact that there exist pairs of trees and chemical trees which cannot be distinguished by using it. We give some general methods for constructing equiseparable pairs and compare the methods with the case for the Wiener index. More specifically, we show that the terminal Wiener index is degenerate to some extent. 漏 2011 Elsevier Ltd. All rights reserved