Recent Advances of Percolation Theory in Complex Networks

Deokjae Lee, B. Kahng, Y. S. Cho, Kwang-Il Goh, D. S. Lee

Research output: Contribution to journalReview article

9 Citations (Scopus)

Abstract

During the past two decades, percolation has long served as a basic paradigm for network resilience, community formation and so on in complex systems. While the percolation transition is known as one of the most robust continuous transitions, the percolation transitions occurring in complex systems are often of different types such as discontinuous, hybrid, and infinite-order phase transitions. Thus, percolation has received considerable attention in network science community. Here we present a very brief review of percolation theory recently developed, which includes those types of phase transitions, critical phenomena, and finite-size scaling theory. Moreover, we discuss potential applications of theoretical results and several open questions including universal behaviors.

Original languageEnglish
Pages (from-to)152-164
Number of pages13
JournalJournal of the Korean Physical Society
Volume73
Issue number2
DOIs
Publication statusPublished - 2018 Jul 1

Keywords

  • Discontinuous transition
  • Hybrid phase transition
  • Percolation
  • Phase transition

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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