Ehrhart polynomial

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo integral convex polytopes
gptkbp:degree dimension of the polytope
gptkbp:describes lattice point enumeration
gptkbp:field gptkb:geometry
combinatorics
gptkbp:hasProperty quasi-polynomial for rational polytopes
https://www.w3.org/2000/01/rdf-schema#label Ehrhart polynomial
gptkbp:introducedIn 1962
gptkbp:namedAfter gptkb:Eugène_Ehrhart
gptkbp:output number of lattice points in dilated polytope
gptkbp:relatedTo gptkb:Pick's_theorem
gptkb:Stanley’s_reciprocity_theorem
gptkbp:usedIn algebraic combinatorics
discrete geometry
gptkbp:variant dilation factor
gptkbp:bfsParent gptkb:Pick's_Theorem
gptkbp:bfsLayer 6