Small-Worlds, Mazes and Random Walks

Details Small-Worlds, Mazes and Random Walks Small-Worlds, Mazes and Random Walks

2002-11-18

arxiv.org/abs/cond-mat/0211383v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

article, 7 figures

Scientific paper

10.1209/epl/i2003-00470-4

We establish a relationship between the Small-World behavior found in complex networks and a family of Random Walks trajectories using, as a linking bridge, a maze iconography. Simple methods to generate mazes using Random Walks are discussed along with related issues and it is explained how to interpret mazes as graphs and loops as shortcuts. Small-World behavior was found to be non-logarithmic but power-law in this model, we discuss the reason for this peculiar scaling

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