On rainbow thresholds

Fuente: arXiv
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Autores principales: Han, Jie, Yuan, Xiaofan
Formato: Preprint
Publicado: 2023
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author Han, Jie
Yuan, Xiaofan
author_facet Han, Jie
Yuan, Xiaofan
contents Resolving a recent problem of Bell, Frieze, and Marbach, we establish both the threshold result of Frankston--Kahn--Narayanan--Park, and its strengthening by Spiro, in the rainbow setting. This has applications to the thresholds for rainbow structures in random graphs where each edge is given a uniformly random color from a set of given colors.
format Preprint
id arxiv_https___arxiv_org_abs_2310_03974
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On rainbow thresholds
Han, Jie
Yuan, Xiaofan
Combinatorics
Probability
Resolving a recent problem of Bell, Frieze, and Marbach, we establish both the threshold result of Frankston--Kahn--Narayanan--Park, and its strengthening by Spiro, in the rainbow setting. This has applications to the thresholds for rainbow structures in random graphs where each edge is given a uniformly random color from a set of given colors.
title On rainbow thresholds
topic Combinatorics
Probability
url https://arxiv.org/abs/2310.03974