Network formation by contact arrested propagation

Andreas Hafver, Espen Jettestuen, Jan M. Baetens and Anders Malthe-Sørenssen

Physica A: Statistical Mechanics and its Applications, 2014, vol. 413, issue C, 240-255

Abstract: We propose here a network growth model which we term Contact Arrested Propagation (CAP). One representation of the CAP model comprises a set of two-dimensional line segments on a lattice, propagating independently at constant speed in both directions until they collide. The generic form of the model extends to arbitrary networks, and, in particular, to three-dimensional lattices, where it may be realised as a set of expanding planes, halted upon intersection. The model is implemented as a simple and completely background independent substitution system.

Keywords: Networks; Fracturing; Fragmentation; Percolation; Cellular automata; Substitution systems (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:413:y:2014:i:c:p:240-255

DOI: 10.1016/j.physa.2014.07.006

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