TY - JOUR
T1 - Condition of weak discontinuity for percolation models with edge selection rule depending on cluster sizes
AU - Yamada, Yuhei
AU - Yamazaki, Yoshihiro
N1 - Funding Information:
Acknowledgement We are grateful to Dr. Takuma Narizuka for useful discussions. This work was partially supported by Waseda Research Institute for Science and Engineering, Grant-in-Aid for Young Scientists (Early Bird program).
Publisher Copyright:
©2018 The Physical Society of Japan
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
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U2 - 10.7566/JPSJ.87.085002
DO - 10.7566/JPSJ.87.085002
M3 - Article
AN - SCOPUS:85050532293
VL - 87
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 8
M1 - 085002
ER -