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Phase transition in an optimal clusterization model

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  • Néda, Zoltán
  • Florian, Răzvan
  • Ravasz, Mária
  • Libál, András
  • Györgyi, Géza

Abstract

An optimal clusterization model resembling the infinite-range Potts glass-type model with ±J bonds and unrestricted number of states, p=N is introduced and studied. As a function of the q probability of +J bonds, it is found that the r relative size of the largest cluster, or, coalition, shows a percolation-like transition at q=12. By a simple renormalization approach and several optimization methods we investigate the r(q) curves for finite system sizes. Non-trivial consequences for social percolation problems are discussed.

Suggested Citation

  • Néda, Zoltán & Florian, Răzvan & Ravasz, Mária & Libál, András & Györgyi, Géza, 2006. "Phase transition in an optimal clusterization model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 357-368.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:2:p:357-368
    DOI: 10.1016/j.physa.2005.08.008
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    Cited by:

    1. Dewan F. Wahid & Elkafi Hassini, 2022. "A Literature Review on Correlation Clustering: Cross-disciplinary Taxonomy with Bibliometric Analysis," SN Operations Research Forum, Springer, vol. 3(3), pages 1-42, September.

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