Growing networks under geographical constraints

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Apr;75(4 Pt 2):046117. doi: 10.1103/PhysRevE.75.046117. Epub 2007 Apr 30.

Abstract

Inspired by the structure of technological weblike systems, we discuss network evolution mechanisms which give rise to topological properties found in real spatial networks. Thus, we suggest that the peculiar structure of transport and distribution networks is fundamentally determined by two factors. These are the dependence of the spatial interaction range of vertices on the vertex attractiveness (or importance within the network) and on the inhomogeneous distribution of vertices in space. We propose and analyze numerically a simple model based on these generating mechanisms which seems, for instance, to be able to reproduce known structural features of the Internet.