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Physical Review E
Article
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Physical Review E
Article . 2005 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2005
License: arXiv Non-Exclusive Distribution
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Cyclic topology in complex networks

Authors: Jin Min Kim; Jin Min Kim; Hyun-Joo Kim; Hyun-Joo Kim;

Cyclic topology in complex networks

Abstract

We propose a cyclic coefficient $R$ which represents the cyclic characteristics of complex networks. If the network forms a perfect tree-like structure then $R$ becomes zero. The larger value of $R$ represents that the network is more cyclic. We measure the cyclic coefficients and the distributions of the local cyclic coefficient for both various real networks and the representative network models and characterize the cyclic structures of them.

Related Organizations
Keywords

Physics - Physics and Society, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Physics and Society (physics.soc-ph), Condensed Matter - Statistical Mechanics

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    47
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
47
Top 10%
Top 10%
Top 10%
Green
bronze