Condition of weak discontinuity for percolation models with edge selection rule depending on cluster sizes

Yuhei Yamada, Yoshihiro Yamazaki

Research output: Contribution to journalArticlepeer-review

Abstract

With regard to rapid transition in percolation on graphs, a sufficient condition for cluster sizes to realize the weak discontinuity is derived. We focused on a group of models in which edges are added between nodes with a probability depending on their cluster sizes. It is found that the Erdös–Rényi model becomes weakly discontinuous depending on some initial condition.

Original languageEnglish
Article number085002
Journaljournal of the physical society of japan
Volume87
Issue number8
DOIs
Publication statusPublished - 2018

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Condition of weak discontinuity for percolation models with edge selection rule depending on cluster sizes'. Together they form a unique fingerprint.

Cite this