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 language | English |
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Article number | 085002 |
Journal | Journal of the Physical Society of Japan |
Volume | 87 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2018 Jan 1 |
ASJC Scopus subject areas
- Physics and Astronomy(all)