When the spatial networks split?

Details When the spatial networks split? When the spatial networks split?

2008-01-04

arxiv.org/abs/0801.0664v1

Lecture Notes in Computer Science 5102 (2008) 545

Physics

Computational Physics

7 pages, 6 figures, prepared for the Physical, Biological and Social Networks - Workshop in the International Conference on Co

Scientific paper

We consider a three dimensional spatial network, where $N$ nodes are randomly distributed within a cube $L\times L\times L$. 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; $\rho_c$ is found to increase with $N$ as $N^{0.105}$, where $N$ is between 20 and 300. The results can be useful for a design of protocols to control sets of wearable sensors.

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