@article{Kawamoto:2015:10.1371/journal.pone.0119979,
author = {Kawamoto, H and Takayasu, H and Jensen, HJ and Takayasu, M},
doi = {10.1371/journal.pone.0119979},
journal = {PLOS One},
title = {Precise calculation of a bond percolation transition and survival rates of nodes in a complex network},
url = {http://dx.doi.org/10.1371/journal.pone.0119979},
volume = {10},
year = {2015}
}

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TY  - JOUR
AB  - Through precise numerical analysis, we reveal a new type of universal loopless percolation transition in randomly removed complex networks. As an example of a real-world network, we apply our analysis to a business relation network consisting of approximately 3,000,000 links among 300,000 firms and observe the transition with critical exponents close to the mean-field values taking into account the finite size effect. We focus on the largest cluster at the critical point, and introduce survival probability as a new measure characterizing the robustness of each node. We also discuss the relation between survival probability and k-shell decomposition.
AU  - Kawamoto,H
AU  - Takayasu,H
AU  - Jensen,HJ
AU  - Takayasu,M
DO  - 10.1371/journal.pone.0119979
PY  - 2015///
SN  - 1932-6203
TI  - Precise calculation of a bond percolation transition and survival rates of nodes in a complex network
T2  - PLOS One
UR  - http://dx.doi.org/10.1371/journal.pone.0119979
UR  - http://hdl.handle.net/10044/1/25867
VL  - 10
ER  - 

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