Network rewiring models

2008, Volume 3, Issue 2: 221-238. doi: 10.3934/nhm.2008.3.221

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1.
Theoretical Physics, Blackett Laboratory, Imperial College London, South Kensington campus, London, SW7 2AZ
2.
Institute for Mathematical Sciences, Imperial College London, 53 Prince's Gate South Kensington, London, SW7 2PG

Recently we showed that a simple model of network rewiring could be solved exactly for any time and any parameter value. We also showed that this model can be recast in terms of several well known models of statistical physics such as Urn model and the Voter model. We also noted that it has been applied to a wide range of problems. Here we consider various generalisations of this model and include some new exact results.
- Network Rewiring,
- Urn Models,
- Voter Models
Citation: T. S. Evans, A. D. K. Plato. Network rewiring models[J]. Networks and Heterogeneous Media, 2008, 3(2): 221-238. doi: 10.3934/nhm.2008.3.221

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Abstract

Recently we showed that a simple model of network rewiring could be solved exactly for any time and any parameter value. We also showed that this model can be recast in terms of several well known models of statistical physics such as Urn model and the Voter model. We also noted that it has been applied to a wide range of problems. Here we consider various generalisations of this model and include some new exact results.
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