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15
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One-to-one Correspondence of Facets of a Polytope

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#geometry #polytopes #convex-hulls
50
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Prove that $P_{\text {match }}(G) \cap\left\{x: 1^T x=k\right\}$ is the convex hull of all matchings in $G$ of size exactly $k$.

Published on
#optimization #discrete-optimization #polytopes #matching-theory
40
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Algorithm to recognize spherical abstract polytopes

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#algebraic-topology #geometric-topology #computational-geometry #cw-complexes #polytopes
22
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Simplifying the set of constraints of an optimization problem

Published on
#approximation #constraints #polytopes
60
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Finding the extreme points of a polyhedron

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#geometry #optimization #convex-optimization #polytopes
51
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Can a oblique antiprism be constructed?

Published on
#geometry #euclidean-geometry #polyhedra #solid-geometry #polytopes
74
Views

Permutohedron Facets

Published on
#geometry #polytopes
30
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Why Are There Finitely Many Regular Polytope Compounds?

Published on
#geometry #euclidean-geometry #polytopes
45
Views

How to distinguish faces of a polytope from internal sections?

Published on
#geometry #polytopes
47
Views

Is there an algorithm for finding a geometric realization of a finite abstract simplicial complex

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#geometry #polytopes #simplicial-complex
448
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What's the difference between zig-zags and a helixes?

Published on
#solution-verification #polygons #polytopes
1k
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How to find on each face of a polyhedron one point?

Published on
#geometry #linear-programming #polyhedra #polytopes
949
Views

Using inequalities to find vertices of a polytope

Published on
#convex-analysis #computational-mathematics #polytopes
930
Views

Exposed point of a compact convex set

Published on
#general-topology #convex-analysis #polytopes
14
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How many top-$k$ orderings can be induced by linear functionals on integer points in a square?

Published on
#combinatorics #polytopes

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