Percolation transition in correlated static model

Sang Woo Kim, Jae Dong Noh

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We introduce a correlated static model and investigate a percolation transition. The model is a modification of the static model and is characterized by assortative degree-degree correlation. As one varies the edge density, the network undergoes a percolation transition. The percolation transition is characterized by a weak singular behavior of the mean cluster size and power-law scalings of the percolation order parameter and the cluster size distribution in the entire non-percolating phase. These results suggest that the assortative degree-degree correlation generates a global structural correlation which is relevant to the percolation critical phenomena of complex networks.

Original languageEnglish
Pages (from-to)S145-S149
JournalJournal of the Korean Physical Society
Issue numberSUPPL. 2
StatePublished - Feb 2008


  • Critical phenomena
  • Degree-degree correlation
  • Percolation
  • Power law


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