The clash of the Titans: How preferential attachment helps the survival of the smallest
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We examine the effects of preferential attachment on a model of competing clusters. In the original model, cluster masses grow at the expense of their neighbours; on a lattice, this is known to result in the asymptotic survival and indefinite growth of clusters which are isolated from each other. The presence of preferential attachment results in an inhomogeneous topology, where hubs monopolise the connections, while most other nodes are sparsely connected. Interestingly, this results in the protection of the less massive clusters from annihilation, to which the hubs are doomed.
KeywordsEuropean Physical Journal Special Topic Eventual Survivor Degree Distribution Preferential Attachment Massive Cluster
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