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arXiv · 0908.3968

Scaling properties in spatial networks and its effects on topology and traffic dynamics

Hua Yang·Yuchao Nie·Ying Fan·Yanqing Hu·Zengru Di
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Abstract

Empirical studies on the spatial structures in several real transport networks reveal that the distance distribution in these networks obeys power law. To discuss the influence of the power-law exponent on the network's structure and function, a spatial network model is proposed. Based on a regular network and subject to a limited cost $C$, long range connections are added with power law distance distribution $P(r)=ar^{-δ}$. Some basic topological properties of the network with different $δ$ are studied. It is found that the network has the smallest average shortest path when $δ=2$. Then a traffic model on this network is investigated. It is found that the network with $δ=1.5$ is best for the traffic process. All of these results give us some deep understandings about the relationship between spatial structure and network function.

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Hua Yang, Yuchao Nie, Ying Fan, Yanqing Hu, Zengru Di. 2009-08-27. Scaling properties in spatial networks and its effects on topology and traffic dynamics. https://doi.org/10.1209/0295-5075%2F89%2F58002

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