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arXiv.org e-Print Archive
Preprint . 2024
Data sources: arXiv.org e-Print Archive
https://doi.org/10.1090/proc/1...
Article . 2024 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2024
License: CC BY
Data sources: Datacite
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Obligatory hypergraphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 07 Oct 2024Embargo end date: 01 Mar 2024Publisher:American Mathematical Society (AMS)
Authors: Reiher, Christian;

doi: 10.1090/proc/17021 , 10.48550/arxiv.2403.11223

arXiv: 2403.11223

Obligatory hypergraphs

Abstract

Erdős and Hajnal proved that every graph of uncountable chromatic number contains arbitrarily large finite, complete, bipartite graphs. We extend this result to hypergraphs.

2 figures

Keywords

FOS: Mathematics, Mathematics - Combinatorics, Mathematics - Logic, Combinatorics (math.CO), Logic (math.LO), 03E05, 05C15, 05D10

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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