Complex Networks: effect of subtle changes in nature of randomness

Abstract

In two different classes of network models, namely, the Watts Strogatz type and the Euclidean type, subtle changes have been introduced in the randomness. In the Watts Strogatz type network, rewiring has been done in different ways and although the qualitative results remain same, finite differences in the exponents are observed. In the Euclidean type networks, where at least one finite phase transition occurs, two models differing in a similar way have been considered. The results show a possible shift in one of the phase transition points but no change in the values of the exponents. The WS and Euclidean type models are equivalent for extreme values of the parameters; we compare their behaviour for intermediate values.

6 pages, 11 figures, to be published in Physica A

References in corpus (3)

• The spatial structure of networks
• Phase transitions in Ising model on a Euclidean network
• Phase transition of a one-dimensional Ising model with distance-dependent connections

Cited by in corpus (6)

• Two-dimensional SIR epidemics with long range infection
• Mapping the $q$-voter model: From a single chain to complex networks
• Effect of the nature of randomness on quenching dynamics of Ising model on complex networks
• Competition between quenched disorder and long-range connections: A numerical study of diffusion
• Susceptible-Infected-Recovered model on Euclidean network
• Stochastic Bifurcations in the Nonlinear Parallel Ising Model