Volume 107, Number 3, August 2014
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||28 July 2014|
The configuration multi-edge model: Assessing the effect of fixing node strengths on weighted network magnitudes
1 Departament de Física Fonamental, Universitat de Barcelona, Facultat de Física - C. Martí i Franquès 1, 08028 Barcelona, Spain
2 Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C - 08193 Bellaterra (Barcelona), Spain
3 Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C 08193 Bellaterra (Barcelona), Spain
Received: 22 May 2014
Accepted: 10 July 2014
Complex networks grow subject to structural constraints which affect their measurable properties. Assessing the effect that such constraints impose on their observables is thus a crucial aspect to be taken into account in their analysis. To this end, we examine the effect of fixing the strength sequence in multi-edge networks on several network observables such as degrees, disparity, average neighbor properties and weight distribution using an ensemble approach. We provide a general method to calculate any desired weighted network metric and we show that several features detected in real data could be explained solely by structural constraints. We thus justify the need of analytical null models to be used as basis to assess the relevance of features found in real data represented in weighted network form.
PACS: 89.75.Da – Systems obeying scaling laws / 89.75.Fb – Structures and organization in complex systems / 89.75.Hc – Networks and genealogical trees
© EPLA, 2014
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