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DC Field | Value | Language |
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dc.contributor.author | Kim, DH | - |
dc.contributor.author | Rodgers, GJ | - |
dc.contributor.author | Kahng, B | - |
dc.contributor.author | Kim, D | - |
dc.coverage.spatial | 4 | en |
dc.date.accessioned | 2006-10-23T13:55:33Z | - |
dc.date.available | 2006-10-23T13:55:33Z | - |
dc.date.issued | 2006 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/289 | - |
dc.description.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. | en |
dc.format.extent | 458207 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.subject.classification | Condensed Matter | en |
dc.subject.classification | Statistical Mechanics | en |
dc.title | Self-organized Model for Modular Complex Networks: Division and Independence | en |
dc.type | Preprint | en |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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Preprint.pdf | 447.47 kB | Adobe PDF | View/Open |
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