On Wiener polarity index of bicyclic networks.

Abstract:

:Complex networks are ubiquitous in biological, physical and social sciences. Network robustness research aims at finding a measure to quantify network robustness. A number of Wiener type indices have recently been incorporated as distance-based descriptors of complex networks. Wiener type indices are known to depend both on the network's number of nodes and topology. The Wiener polarity index is also related to the cluster coefficient of networks. In this paper, based on some graph transformations, we determine the sharp upper bound of the Wiener polarity index among all bicyclic networks. These bounds help to understand the underlying quantitative graph measures in depth.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Ma J,Shi Y,Wang Z,Yue J

doi

10.1038/srep19066

subject

Has Abstract

pub_date

2016-01-11 00:00:00

pages

19066

issn

2045-2322

pii

srep19066

journal_volume

6

pub_type

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