A geometric growth model interpolating between regular and small-world networks

Details A geometric growth model interpolating between regular and small-world networks A geometric growth model interpolating between regular and small-world networks

2007-01-11

arxiv.org/abs/cond-mat/0701231v1

J. Phys. A: Math. Theor. 40 (2007) 11863-11876

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures

Scientific paper

10.1088/1751-8113/40/39/011

We propose a geometric growth model which interpolates between one-dimensional linear graphs and small-world networks. The model undergoes a transition from large to small worlds. We study the topological characteristics by both theoretical predictions and numerical simulations, which are in good accordance with each other. Our geometrically growing model is a complementarity for the static WS model.

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