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arXiv · 1311.0984

The asymptotic size of the largest component in random geometric graphs with some applications

Ge Chen·Chang-Long Yao·Tian-De Guo
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Abstract

For the size of the largest component in a supercritical random geometric graph, this paper estimates its expectation which tends to a polynomial on a rate of exponential decay, and sharpens its asymptotic result with a central limit theory. Similar results can be obtained for the size of biggest open cluster, and for the number of open clusters of percolation on a box, and so on.

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Ge Chen, Chang-Long Yao, Tian-De Guo. 2013-11-05. The asymptotic size of the largest component in random geometric graphs with some applications. https://arxiv.org/abs/1311.0984

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