Small worlds

DOI10.1002/rsa.1018zbMath0988.60100arXivcond-mat/0006001OpenAlexW2912213511MaRDI QIDQ2748426

Andrew David Barbour, Gesine D. Reinert

Publication date: 10 July 2002

Published in: Random Structures and Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0006001

zbMATH Keywords

Stein's methodnetworksPoisson processPoisson approximationcircle models

Mathematics Subject Classification ID

Special processes (60K99)

Related Items (18)

Poisson approximations for epidemics with two levels of mixing. ⋮ First passage percolation on the Newman-Watts small world model ⋮ Phase transitions in dynamical random graphs ⋮ Approximating dependent rare events ⋮ Centrality Analysis for Modified Lattices ⋮ The clustering coefficient and the diameter of small-world networks ⋮ Unravelling small world networks ⋮ Asymptotic behavior of Aldous' gossip process ⋮ Asymptotic Behaviour of Gossip Processes and Small-World Networks ⋮ Two phase transitions for the contact process on small worlds ⋮ The small world effect on the coalescing time of random walks ⋮ An analysis of the transition zone between the various scaling regimes in the small-world model ⋮ Greedy pathlengths and small world graphs ⋮ Efficient routeing in Poisson small-world networks ⋮ On the connectivity and diameter of small-world networks ⋮ Matrix analysis of a Markov chain small-world model ⋮ The great circle epidemic model. ⋮ A general model for stochastic SIR epidemics with two levels of mixing

Cites Work

• Epidemics with two levels of mixing
• Collective dynamics of ‘small-world’ networks

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