670 citations · 1.5k across the 17 of their papers we have counts for
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Agglomerative percolation on the Bethe lattice and the triangular cactus
Huiseung Chae, Soon-Hyung Yook, Yup Kim
We study the agglomerative percolation (AP) models on the Bethe lattice and the triangular cactus to establish the exact mean-field theory for AP. Using the self-consistent simulat…
Bond-site duality and phase transition nature of explosive percolations on a two-dimensional lattice
Woosik Choi, Soon-Hyung Yook, Yup Kim
To establish the bond-site duality of explosive percolations in 2 dimension, the site and bond explosive percolation models are carefully defined on a square lattice. By studying t…
Explosive percolations on the Bethe Lattice
Huiseung Chae, Soon-Hyung Yook, Yup Kim
Based on the self-consistent equations of the order parameter and the mean cluster size , we develop a novel self-consistent simulation (SCS) method for arbitrary per…
Explosive site percolation with a product rule
Woosik Choi, Soon-Hyung Yook, Yup Kim
We study the site percolation under Achlioptas process (AP) with a product rule in a (2D) square lattice. From the measurement of the cluster size distribution, $P_…
Random walks and diameter of finite scale-free networks
Sungmin Lee, Soon-Hyung Yook, Yup Kim
Dynamical scalings for the end-to-end distance and the number of distinct visited nodes of random walks (RWs) on finite scale-free networks (SFNs) are studied numeri…
Synchronization of R{ö}ssler Oscillators on Scale-free Topologies
Soon-Hyung Yook, Hildegard Meyer-Ortmanns
We study the synchronization of R{ö}ssler oscillators as prototype of chaotic systems, when they are coupled on scale-free complex networks. We find that the underlying topology cr…