Shape and efficiency in spatial distribution networks

Details Shape and efficiency in spatial distribution networks Shape and efficiency in spatial distribution networks

2004-09-27

arxiv.org/abs/cond-mat/0409702v1

J. Stat. Mech. (2006) P01015

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figures

Scientific paper

10.1088/1742-5468/2006/01/P01015

We study spatial networks that are designed to distribute or collect a commodity, such as gas pipelines or train tracks. We focus on the cost of a network, as represented by the total length of all its edges, and its efficiency in terms of the directness of routes from point to point. Using data for several real-world examples, we find that distribution networks appear remarkably close to optimal where both these properties are concerned. We propose two models of network growth that offer explanations of how this situation might arise.

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