When the spatial networks split?

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 \(\...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Natkaniec, Joanna, Kulakowski, Krzysztof
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.01.2008
Subjects
Nodes
Protocol (computers)
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422