On a question of Erdős and Gimbel on the cochromatic number

Fuente: arXiv
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Main Author: Heckel, Annika
Format: Preprint
Published: 2024
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_version_ 1866916621129351168
author Heckel, Annika
author_facet Heckel, Annika
contents In this note, we show that the difference between the chromatic and the cochromatic number of the random graph $G_{n,1/2}$ is not whp bounded by $n^{1/2-o(1)}$, addressing a question of Erdős and Gimbel.
format Preprint
id arxiv_https___arxiv_org_abs_2408_13839
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On a question of Erdős and Gimbel on the cochromatic number
Heckel, Annika
Combinatorics
05C15, 05C80
In this note, we show that the difference between the chromatic and the cochromatic number of the random graph $G_{n,1/2}$ is not whp bounded by $n^{1/2-o(1)}$, addressing a question of Erdős and Gimbel.
title On a question of Erdős and Gimbel on the cochromatic number
topic Combinatorics
05C15, 05C80
url https://arxiv.org/abs/2408.13839