Conservation laws for the voter model in complex networks

@inproceedings{Suchecki2004ConservationLF,
  title={Conservation laws for the voter model in complex networks},
  author={Krzysztof Suchecki and V. M. Eg{\'u}ıluz and Maxi San Miguel},
  year={2004}
}
– We consider the voter model dynamics in random networks with an arbitrary distribution of the degree of the nodes. We find that for the usual node-update dynamics the average magnetization is not conserved, while an average magnetization weighted by the degree of the node is conserved. However, for a link-update dynamics the average magnetization is still conserved. For the particular case of a Barabási-Albert scale-free network, the voter model dynamics leads to a partially ordered… CONTINUE READING
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