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arXiv · 1701.06917

Small subgraphs and their extensions in a random distance graph

A. V. Burkin·M. E. Zhukovskii
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Abstract

In previous papers, threshold probabilities for the properties of a random distance graph to contain strictly balanced graphs were found. We extend this result to arbitrary graphs and prove that the number of copies of a strictly balanced graph has asymptotically Poisson distribution at the threshold.

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A. V. Burkin, M. E. Zhukovskii. 2017-01-24. Small subgraphs and their extensions in a random distance graph. https://doi.org/10.1070/sm8674

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