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

Yuhei Yamada, Yoshihiro Yamazaki

研究成果: Article査読

抄録

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.

本文言語English
論文番号085002
ジャーナルjournal of the physical society of japan
87
8
DOI
出版ステータスPublished - 2018

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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