The Threshold For The Square Of A Hamilton Cycle

Jeff Kahn,Bhargav Narayanan,Jinyoung Park

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（2021）

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摘要

Resolving a conjecture of Kuhn and Osthus from 2012, we show that p = 1/root n is the threshold for the random graph G(n,p) to contain the square of a Hamilton cycle.

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关键词

cycle,threshold,square

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