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Type Journal Article
Scope Discipline-based scholarship
Title Randomizing growing networks with a time-respecting null model
Organization Unit
Authors
  • Zhuo-Ming Ren
  • Manuel Mariani
  • Yi-Cheng Zhang
  • Matúš Medo
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Physical review. E
Publisher American Physical Society
Geographical Reach international
ISSN 2470-0045
Volume 97
Number 5
Page Range 052311
Date 2018
Abstract Text Complex networks are often used to represent systems that are not static but grow with time: People make new friendships, new papers are published and refer to the existing ones, and so forth. To assess the statistical significance of measurements made on such networks, we propose a randomization methodology—a time-respecting null model—that preserves both the network's degree sequence and the time evolution of individual nodes' degree values. By preserving the temporal linking patterns of the analyzed system, the proposed model is able to factor out the effect of the system's temporal patterns on its structure. We apply the model to the citation network of Physical Review scholarly papers and the citation network of US movies. The model reveals that the two data sets are strikingly different with respect to their degree-degree correlations, and we discuss the important implications of this finding on the information provided by paradigmatic node centrality metrics such as indegree and Google's PageRank. The randomization methodology proposed here can be used to assess the significance of any structural property in growing networks, which could bring new insights into the problems where null models play a critical role, such as the detection of communities and network motifs.
Digital Object Identifier 10.1103/PhysRevE.97.052311
Other Identification Number merlin-id:16886
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