6 papers
Emergence of Long-Range Correlations in Random Networks
Shogo Mizutaka, Takehisa Hasegawa
We perform an analytical analysis of the long-range degree correlation of the giant component in an uncorrelated random network by employing generating functions. By introducing a…
Structure of percolating clusters in random clustered networks
Takehisa Hasegawa, Shogo Mizutaka
We examine the structure of the percolating cluster (PC) formed by site percolation on a random clustered network (RCN) model. Using the generating functions, we formulate the clus…
Percolation on a maximally disassortative network
Shogo Mizutaka, Takehisa Hasegawa
We propose a maximally disassortative (MD) network model which realizes a maximally negative degree-degree correlation, and study its percolation transition to discuss the effect o…
Disassortativity of percolating clusters in random networks
Shogo Mizutaka, Takehisa Hasegawa
We provide arguments for the property of the degree-degree correlations of giant components formed by the percolation process on uncorrelated random networks. Using the generating…
Simple model of fractal networks formed by self-organized critical dynamics
Shogo Mizutaka
In this paper, a simple dynamical model in which fractal networks are formed by self-organized critical (SOC) dynamics is proposed; the proposed model consists of growth and collap…
Robustness of scale-free networks to cascading failures induced by fluctuating loads
Shogo Mizutaka, Kousuke Yakubo
Taking into account the fact that overload failures in real-world functional networks are usually caused by extreme values of temporally fluctuating loads that exceed the allowable…