Emergence of the giant component in preferential-attachment growing networks

DOI10.1134/S0040577916030107zbMath1338.82015MaRDI QIDQ297964

Yan Li, Yu-An Sun

Publication date: 20 June 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

percolationscale-free networkcluster size distributionKosterlitz-Thouless transition

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Stochastic network models in operations research (90B15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Limit behaviors of random connected graphs driven by a Poisson process
• Statistical mechanics of complex networks
• Emergence of Scaling in Random Networks
• Cluster growth in two growing network models
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