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The European Physical Journal Special Topics

, Volume 223, Issue 13, pp 2745–2758 | Cite as

The clash of the Titans: How preferential attachment helps the survival of the smallest

  • S. Aich
  • A. Mehta
Review
Part of the following topical collections:
  1. Advanced Computational and Experimental Techniques in Nolinear Dynamics. Guest Editors: Elbert E.N. Macau and Carlos L. Pando Lambruschini (Eds.)

Abstract

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.

Keywords

European Physical Journal Special Topic Eventual Survivor Degree Distribution Preferential Attachment Massive Cluster 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2014

Authors and Affiliations

  1. 1.Department of Theoretical SciencesSatyendra Nath Bose National Centre for Basic SciencesKolkataIndia

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