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http://bura.brunel.ac.uk/handle/2438/289
Title: | Self-organized Model for Modular Complex Networks: Division and Independence |
Authors: | Kim, DH Rodgers, GJ Kahng, B Kim, D |
Issue Date: | 2006 |
Abstract: | We introduce a minimal network model which generates a modular structure in a self-organized way. To this end, we modify the Barabasi-Albert model into the one evolving under the principle of division and independence as well as growth and preferential attachment (PA). A newly added vertex chooses one of the modules composed of existing vertices, and attaches edges to vertices belonging to that module following the PA rule. When the module size reaches a proper size, the module is divided into two, and a new module is created. The karate club network studied by Zachary is a prototypical example. We find that the model can reproduce successfully the behavior of the hierarchical clustering coefficient of a vertex with degree k, C(k), in good agreement with empirical measurements of real world networks. |
URI: | http://bura.brunel.ac.uk/handle/2438/289 |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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Preprint.pdf | 447.47 kB | Adobe PDF | View/Open |
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