Generalized local-world models for weighted networks

Abstract

Based on the weighted scale-free network model proposed by Barrat, Barthélemy, and Vespignani [Phys. Rev. Lett. 92, 228701 (2004)] and enlightened by our local-world concept [Li and Chen, Physica A 328, 274 (2003)], we propose two generalized local-world (GLW) models for weighted complex networks. Theoretical analysis and numerical simulations show that the GLW models generate weighted networks as a crossover between exponential and scale-free weighted networks, and exhibit an alteration from assortative networks to disassortative networks. © 2006 The American Physical Society.