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- Polyhedral_combinatorics abstract "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.Research in polyhedral combinatorics falls into two distinct areas. Mathematicians in this area study the combinatorics of polytopes; for instance, they seek inequalities that describe the relations between the numbers of vertices, edges, and faces of higher dimensions in arbitrary polytopes or in certain important subclasses of polytopes, and study other combinatorial properties of polytopes such as their connectivity and diameter (number of steps needed to reach any vertex from any other vertex). Additionally, many computer scientists use the phrase “polyhedral combinatorics” to describe research into precise descriptions of the faces of certain specific polytopes (especially 0-1 polytopes, whose vertices are subsets of a hypercube) arising from integer programming problems.".
- Polyhedral_combinatorics thumbnail Pyramid_face_lattice.svg?width=300.
- Polyhedral_combinatorics wikiPageExternalLink five-open-problems-regarding-convex-polytopes.
- Polyhedral_combinatorics wikiPageID "19696519".
- Polyhedral_combinatorics wikiPageRevisionID "604415851".
- Polyhedral_combinatorics hasPhotoCollection Polyhedral_combinatorics.
- Polyhedral_combinatorics subject Category:Polyhedral_combinatorics.
- Polyhedral_combinatorics comment "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.Research in polyhedral combinatorics falls into two distinct areas.".
- Polyhedral_combinatorics label "Combinatoria poliédrica".
- Polyhedral_combinatorics label "Polyhedral combinatorics".
- Polyhedral_combinatorics sameAs Combinatoria_poliédrica.
- Polyhedral_combinatorics sameAs m.04mxx88.
- Polyhedral_combinatorics sameAs Q8348314.
- Polyhedral_combinatorics sameAs Q8348314.
- Polyhedral_combinatorics wasDerivedFrom Polyhedral_combinatorics?oldid=604415851.
- Polyhedral_combinatorics depiction Pyramid_face_lattice.svg.
- Polyhedral_combinatorics isPrimaryTopicOf Polyhedral_combinatorics.
