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Statistical Analysis of Weighted Networks
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-05-06
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The purpose of this paper is to assess the statistical characterization of weighted networks in terms of the generalization of the relevant parameters, namely, average path length, degree distribution, and clustering coefficient.
Although the degree distribution and the average path length admit straightforward generalizations, for the clustering coefficient several different definitions have been proposed in the literature.
We examined the different definitions and identified the similarities and differences between them.
In order to elucidate the significance of different definitions of the weighted clustering coefficient, we studied their dependence on the weights of the connections.
For this purpose, we introduce the relative perturbation norm of the weights as an index to assess the weight distribution.
This study revealed new interesting statistical regularities in terms of the relative perturbation norm useful for the statistical characterization of weighted graphs.
American Psychological Association (APA)
Antoniou, I. E.& Tsompa, E. T.. 2008. Statistical Analysis of Weighted Networks. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-467135
Modern Language Association (MLA)
Antoniou, I. E.& Tsompa, E. T.. Statistical Analysis of Weighted Networks. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-16.
https://search.emarefa.net/detail/BIM-467135
American Medical Association (AMA)
Antoniou, I. E.& Tsompa, E. T.. Statistical Analysis of Weighted Networks. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-467135
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467135