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And we demonstrate the validity of this method by applying this weighted method to two classes of networks with high homogeneous and heterogeneous degree distribution.
The network had a heterogeneous degree distribution and four hubs were identified based on measures of in-degrees, out-degrees and betweenness: the markets of Medine and Wayerma and the fairs of Farakala and Niena.
This means that our coverage data contain workers with heterogeneous degree of protection.
Thus we generate random graphs with heterogeneous degree distributions following Barabási Albert (BA) model and other graphs with more homogeneous degree distributions following Erdős Rényi (ER).
The resulting network is a random graph with neither the heterogeneous degree distribution nor the clustered structure that the Wikipedia graph reveals [22].
However, it was shown that many real networks have heterogeneous degree distribution; there are many low-degree nodes in the network, while a few nodes are hubs with high degrees (Albert & Barabasi 2002; Barabasi & Albert 1999; Barabási 2009).
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Because ambient NO2 concentrations are spatially heterogeneous, the degree of measurement error may vary among schools because of varying distance to central site.
I tested the effects of spatial or temporal heterogeneity using the heterogeneous-system degree distribution model, which couples subsystems using a common generalist animal species, on a range of network sizes.
The simple heterogeneous-system degree distribution model suggests a biological explanation for the broad degree distributions seen in the large, low connectance pollination networks with a small number of super-generalist pollinators.
To date, the huge variations in the characteristics of different study populations, the heterogeneous initial degrees of vitamin D insufficiency, and doses of vitamin D tested preclude any reliable conclusions.
In contrast, Carbopol solutions are highly heterogeneous and the degree of heterogeneity strongly increases with increasing polymer concentration.
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