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Polyhedral combinatorics

Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

Graph-theoretic properties, Faces and face-counting vectors & Equalities and inequalities

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Overview

Faces and face-counting vectors

Equalities and inequalities

Graph-theoretic properties

Computational properties

  • PP PP (complexity)

Facets of 0-1 polytopes

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Map overview Semantic statistics

Polyhedral combinatorics

Nodes63
Edges62
Triples9
Avg. degree1.97
Density0.031746
Components1

How this topic connects Entity context

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Polyhedral combinatorics

Top relations

related to Faces and face-counting vectors · 5
Polyhedral combinatorics → Configuration, For, If, Note, The
is a · 2
Polyhedral combinatorics → branch of mathematics, ƒ-vector of a polytope

Important terminology Word statistics

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Important terminology

polytopes polytope faces facets vertices combinatorics face ƒ-vector number convex problems diameter edges theorem graph important polyhedral inequalities linear instance

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Polyhedral combinatoricsis abranch of mathematics0.90text
Polyhedral combinatoricsis aƒ-vector of a polytope0.90text
their connectivityinstance ofand study other combinatorial properties of polytopes0.80text
diameterinstance ofand study other combinatorial properties of polytopes0.80text
Polyhedral combinatoricsrelated to Faces and face-counting vectorsThe0.60section
Polyhedral combinatoricsrelated to Faces and face-counting vectorsNote0.60section
Polyhedral combinatoricsrelated to Faces and face-counting vectorsIf0.60section
Polyhedral combinatoricsrelated to Faces and face-counting vectorsFor0.60section
Polyhedral combinatoricsrelated to Faces and face-counting vectorsConfiguration0.60section

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    Min side: 3
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