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Equiseparability on terminal Wiener index

Equiseparability on terminal Wiener index
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.
0893-9659
580-585
Deng, Xiaotie
772c0705-a735-43dc-8988-f5c527572574
Zhang, Jie
6bad4e75-40e0-4ea3-866d-58c8018b225a
Deng, Xiaotie
772c0705-a735-43dc-8988-f5c527572574
Zhang, Jie
6bad4e75-40e0-4ea3-866d-58c8018b225a

Deng, Xiaotie and Zhang, Jie (2012) Equiseparability on terminal Wiener index. Applied Mathematics Letters, 25 (3), 580-585. (doi:10.1016/j.aml.2011.09.063).

Record type: Article

Abstract

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.

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More information

Accepted/In Press date: 27 September 2011
e-pub ahead of print date: 12 October 2011
Published date: March 2012
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 402588
URI: https://eprints.soton.ac.uk/id/eprint/402588
ISSN: 0893-9659
PURE UUID: 5126edda-5201-4033-829a-910b75adc8f5
ORCID for Jie Zhang: ORCID iD orcid.org/0000-0003-1380-9952

Catalogue record

Date deposited: 29 Nov 2016 16:28
Last modified: 06 Jun 2018 12:14

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Contributors

Author: Xiaotie Deng
Author: Jie Zhang ORCID iD

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