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arXiv · 1312.6326

Some large deviation results for near intermediate random geometric graphs

Kwabena Doku-Amponsah
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Abstract

We find large deviation principles for the degree distribution and the proportion of isolated vertices for the near intermediate random geometric graph models on n vertices placed uniformly in [0, 1]^d, for d in N. In the course of the proof of these large deviation results we find joint large deviation principle for the empirical locality measure of the coloured random geometric graphs,(Canning & Penman, 2003).

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Kwabena Doku-Amponsah. 2013-12-22. Some large deviation results for near intermediate random geometric graphs. https://arxiv.org/abs/1312.6326

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