Basic Notions for the Analysis of Large Affiliation Networks / Bipartite Graphs

Details Basic Notions for the Analysis of Large Affiliation Networks / Bipartite Graphs Basic Notions for the Analysis of Large Affiliation Networks / Bipartite Graphs

2006-11-24

arxiv.org/abs/cond-mat/0611631v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Many real-world complex networks actually have a bipartite nature: their nodes may be separated into two classes, the links being between nodes of different classes only. Despite this, and despite the fact that many ad-hoc tools have been designed for the study of special cases, very few exist to analyse (describe, extract relevant information) such networks in a systematic way. We propose here an extension of the most basic notions used nowadays to analyse classical complex networks to the bipartite case. To achieve this, we introduce a set of simple statistics, which we discuss by comparing their values on a representative set of real-world networks and on their random versions.

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