doi: 10.7763/IJMLC.2012.V2.160
Distribution of Number of Edges on Surface of a Sphere
Bhupendra Gupta
,
Lokendra Balyan
- PDPM IIITDM Jabalpur, M.P., India.
Abstract
In this article we consider <em>N </em>spherical caps of area 4<em>π p</em> were uniformly distributed over the surface of a unit sphere. We study the random intersection graph <em>G<sub>N</sub> </em>constructed by these caps. We prove that for <em>p =c/N<sup>α</sup></em> , <em>c</em>>0 and <em>α</em>>2 , the number of edges in graph <em>G<sub>N</sub> </em> follow the Poisson distribution.
Keywords
- Connectivity distance
- edges
- spherical caps
- wireless LAN
- wired LAN
How to Cite
Bhupendra Gupta and Lokendra Balyan, "Distribution of Number of Edges on Surface of a Sphere," International Journal of Machine Learning, vol. 2, no. 4, pp. 431-433, 2012. https://doi.org/10.7763/IJMLC.2012.V2.160
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).