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The threshold for the square of a Hamilton cycle.

Authors :
Kahn, Jeff
Narayanan, Bhargav
Park, Jinyoung
Source :
Proceedings of the American Mathematical Society. Aug2021, Vol. 149 Issue 8, p3201-3208. 8p.
Publication Year :
2021

Abstract

Resolving a conjecture of Kühn and Osthus from 2012, we show that p = 1/√n is the threshold for the random graph Gn,p to contain the square of a Hamilton cycle. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
149
Issue :
8
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
150690129
Full Text :
https://doi.org/10.1090/proc/15419