The threshold for the square of a Hamilton cycle

نویسندگان

چکیده

Resolving a conjecture of Kühn and Osthus from 2012, we show that p = 1 / n p= 1/\sqrt {n} is the threshold for random graph alttext="upper G Subscript comma p"> G , encoding="application/x-tex">G_{n,p} to contain square Hamilton cycle.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2021

ISSN: ['2330-1511']

DOI: https://doi.org/10.1090/proc/15419