Robustness of onionlike correlated networks against targeted attacks

T Tanizawa, S Havlin, HE Stanley - … Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
Recently, it was found by Schneider et al.[Proc. Natl. Acad. Sci. USA 108, 3838 (2011)
PNASA6 0027-8424 10.1073/pnas. 1009440108], using simulations, that scale-free …

Ising model in clustered scale-free networks

CP Herrero - Physical Review E, 2015 - APS
The Ising model in clustered scale-free networks has been studied by Monte Carlo
simulations. These networks are characterized by a degree distribution of the form P (k)∼ k …

Robustness of cooperation on scale-free networks under continuous topological change

G Ichinose, Y Tenguishi, T Tanizawa - … E—Statistical, Nonlinear, and Soft Matter …, 2013 - APS
In this paper, we numerically investigate the robustness of cooperation clusters in prisoner's
dilemma played on scale-free networks, where the network topologies change by …

Self-avoiding walks and connective constants in clustered scale-free networks

CP Herrero - Physical Review E, 2019 - APS
Various types of walks on complex networks have been used in recent years to model
search and navigation in several kinds of systems, with particular emphasis on random …

1D Three-state mean-field Potts model with first-and second-order phase transitions

M Ostilli, F Mukhamedov - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
We analyze a three-state Potts model built over a lattice ring, with coupling J 0, and the fully
connected graph, with coupling J. This model is effectively mean-field and can be exactly …

Structural robustness and transport efficiency of complex networks with degree correlation

T Tanizawa - Nonlinear Theory and Its Applications, IEICE, 2013 - jstage.jst.go.jp
We examine two properties of complex networks, the robustness against targeted node
removal (attack) and the transport efficiency in terms of degree correlation in node …

Boolean decision problems with competing interactions on scale-free networks: Equilibrium and nonequilibrium behavior in an external bias

Z Zhu, JC Andresen, MA Moore, HG Katzgraber - Physical Review E, 2014 - APS
We study the equilibrium and nonequilibrium properties of Boolean decision problems with
competing interactions on scale-free networks in an external bias (magnetic field). Previous …

Boolean decision problems with competing interactions on scale-free networks: Critical thermodynamics

HG Katzgraber, K Janzen, CK Thomas - Physical Review E—Statistical …, 2012 - APS
We study the critical behavior of Boolean variables on scale-free networks with competing
interactions (Ising spin glasses). Our analytical results for the disorder–network-decay …

Mean-field models with short-range correlations

M Ostilli - Europhysics Letters, 2012 - iopscience.iop.org
Given an arbitrary finite dimensional Hamiltonian H 0, we consider the model H= H 0+ ΔH,
where ΔH is a generic fully connected interaction. By using the strong law of large numbers …

Improved degree search algorithms in unstructured P2P networks

G Liu, H Peng, L Li, Y Yang… - Mathematical Problems in …, 2012 - Wiley Online Library
Searching and retrieving the demanded correct information is one important problem in
networks; especially, designing an efficient search algorithm is a key challenge in …