38 citations · 99 across the 13 of their papers we have counts for
14 papers
Structural crossover of complex networks: bridging degree correlation and fractality
Shogo Mizutaka, Jun Yamamoto, Kousuke Yakubo
We investigate the relationship between long-range degree correlations and fractality in scale-free random networks. By analyzing degree correlations in scale-free random networks…
Properties of the connected components in projections of random bipartite networks: Effects of clique size fluctuations
Yuka Fujiki, Shogo Mizutaka
We examined the structure of projections of random bipartite networks characterized by the degree distribution of individual and group nodes through the generating function method.…
Revisiting finite size effect of percolation in degree correlated networks
Shogo Mizutaka, Takehisa Hasegawa
In this study, we investigate bond percolation in networks that have the Poisson degree distribution and a nearest-neighbor degree-degree correlation. Previous numerical studies on…
Synergistic epidemic spreading in correlated networks
Shogo Mizutaka, Kizashi Mori, Takehisa Hasegawa
We investigate the effect of degree correlation on a susceptible-infected-susceptible (SIS) model with a nonlinear cooperative effect (synergy) in infectious transmissions. In a me…
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…
Fractality and degree correlations in scale-free networks
Yuka Fujiki, Shogo Mizutaka, Kousuke Yakubo
Fractal scale-free networks are empirically known to exhibit disassortative degree mixing. It is, however, not obvious whether a negative degree correlation between nearest neighbo…
Structural instability of large-scale functional networks
Shogo Mizutaka, Kousuke Yakubo
We study how large functional networks can grow stably under possible cascading overload failures and evaluated the maximum stable network size above which even a small-scale failu…
Robustness analysis of bimodal networks in the whole range of degree correlation
Shogo Mizutaka, Toshihiro Tanizawa
We present exact analysis of the physical properties of bimodal networks specified by the two peak degree distribution fully incorporating the degree-degree correlation between nod…
Fractal and Small-World Networks Formed by Self-Organized Critical Dynamics
Akitomo Watanabe, Shogo Mizutaka, Kousuke Yakubo
We propose a dynamical model in which a network structure evolves in a self-organized critical (SOC) manner and explain a possible origin of the emergence of fractal and small-worl…
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…