Extension complexity

id: extension-complexity-218-783333
title: Extension complexity
text: In convex geometry and polyhedral combinatorics, the extension complexity of a convex polytope P is the smallest number of facets among convex polytopes Q that have P as a projection. In this context, Q is called an extended formulation of P ; it may have much higher dimension than P. The extension complexity depends on the precise shape of P, not just on its combinatorial structure. For instance, regular polygons with n sides have extension complexity O, but some other convex n -gons have exten
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Extension_complexity
date created: 2021-09-04T07:12:46Z
date modified: 2024-09-13T03:51:03Z
main entity: {"identifier":"Q5421948","url":"https://www.wikidata.org/entity/Q5421948"}
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fields total: 13
integrity: 14

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