When the Spatial Networks Split?

  • Authors:
  • Joanna Natkaniec;Krzysztof Kułakowski

  • Affiliations:
  • Faculty of Physics and Applied Computer Science, AGH---UST, Kraków, Poland PL-30059;Faculty of Physics and Applied Computer Science, AGH---UST, Kraków, Poland PL-30059

  • Venue:
  • ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
  • Year:
  • 2008

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Abstract

We consider a three dimensional spatial network, where Nnodes are randomly distributed within a cube L×L×L. Each two nodes are connected if their mutual distance does not excess a given cutoff a. We analyse numerically the probability distribution of the critical density $\rho_c=N(a_c/L)^3$, where one or more nodes become separated; ρcis found to increase with Nas N0.105, where Nis between 20 and 300. The results can be useful for a design of protocols to control sets of wearable sensors.