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Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons

Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_925633918

Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons

About this item

Full title

Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons

Publisher

Philadelphia, PA: Society for Industrial and Applied Mathematics

Journal title

SIAM journal on discrete mathematics, 2010-01, Vol.23 (4), p.2147-2155

Language

English

Formats

Publication information

Publisher

Philadelphia, PA: Society for Industrial and Applied Mathematics

More information

Scope and Contents

Contents

We consider a variation of a problem stated by Erdos and Szekeres in 1935 about the existence of a number $f^{\mathrm{ES}}(k)$ such that any set $S$ of at least $f^{\mathrm{ES}}(k)$ points in general position in the plane has a subset of $k$ points that are the vertices of a convex $k$-gon. In our setting the points of $S$ are colored, and we say t...

Alternative Titles

Full title

Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_925633918

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_925633918

Other Identifiers

ISSN

0895-4801

E-ISSN

1095-7146

DOI

10.1137/090767947

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