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- W1639261687 abstract "A compressed polytope is an integral convex polytope any of whose reverse lexicographic initial ideals is squarefree. A sufficient condition for a <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-parenthesis 0 comma 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>(0,1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-polytope to be compressed will be presented. One of its immediate consequences is that the class of compressed <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=left-parenthesis 0 comma 1 right-parenthesis> <mml:semantics> <mml:mrow> <mml:mo stretchy=false>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>(0,1)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-polytopes includes (i) hypersimplices, (ii) order polytopes of finite partially ordered sets, and (iii) stable polytopes of perfect graphs." @default.
- W1639261687 created "2016-06-24" @default.
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- W1639261687 date "2001-01-18" @default.
- W1639261687 modified "2023-10-14" @default.
- W1639261687 title "Convex polytopes all of whose reverse lexicographic initial ideals are squarefree" @default.
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- W1639261687 doi "https://doi.org/10.1090/s0002-9939-01-05853-1" @default.
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