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The Configuration Model for Partially Directed Graphs
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 2
2015 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 161, no 4, 965-985 p.Article in journal (Refereed) Published
Abstract [en]

The configuration model was originally defined for undirected networks and has recently been extended to directed networks. Many empirical networks are however neither undirected nor completely directed, but instead usually partially directed meaning that certain edges are directed and others are undirected. In the paper we define a configuration model for such networks where vertices have in-, out-, and undirected degrees that may be dependent. We prove conditions under which the resulting degree distributions converge to the intended degree distributions. The new model is shown to better approximate several empirical networks compared to undirected and completely directed networks.

Place, publisher, year, edition, pages
2015. Vol. 161, no 4, 965-985 p.
Keyword [en]
Configuration model, Partially directed, Semi-directed, Degree distribution, Asymptotic convergence
National Category
URN: urn:nbn:se:su:diva-123511DOI: 10.1007/s10955-015-1360-4ISI: 000363257600010OAI: diva2:875122
Available from: 2015-11-30 Created: 2015-11-27 Last updated: 2015-11-30Bibliographically approved

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Spricer, KristofferBritton, Tom
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