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Network formation by contact arrested propagation

Author

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

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.

Suggested Citation

  • Hafver, Andreas & Jettestuen, Espen & Baetens, Jan M. & Malthe-Sørenssen, Anders, 2014. "Network formation by contact arrested propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 240-255.
    • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:240-255
    DOI: 10.1016/j.physa.2014.07.006
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