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