A survey of degree-boundedness

Fuente: arXiv
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Auteurs principaux: Du, Xiying, McCarty, Rose
Format: Preprint
Publié: 2024
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author Du, Xiying
McCarty, Rose
author_facet Du, Xiying
McCarty, Rose
contents Suppose a graph has no large balanced bicliques, but has large minimum degree. Then what can we say about its induced subgraphs? This question motivates the study of degree-boundedness, which is like $χ$-boundedness but for minimum degree instead of chromatic number. We survey this area with an eye towards open problems.
format Preprint
id arxiv_https___arxiv_org_abs_2403_05737
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A survey of degree-boundedness
Du, Xiying
McCarty, Rose
Combinatorics
05C42
Suppose a graph has no large balanced bicliques, but has large minimum degree. Then what can we say about its induced subgraphs? This question motivates the study of degree-boundedness, which is like $χ$-boundedness but for minimum degree instead of chromatic number. We survey this area with an eye towards open problems.
title A survey of degree-boundedness
topic Combinatorics
05C42
url https://arxiv.org/abs/2403.05737