art gallery theorem

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo simple polygons
gptkbp:field gptkb:geometry
gptkbp:formedBy gptkb:Václav_Chvátal
gptkbp:generalizes Fisk's proof
gptkbp:hasProofsOf gptkb:Steve_Fisk
gptkbp:hasVariant gptkb:vertex_guards
edge guards
mobile guards
point guards
art gallery problem with holes
https://www.w3.org/2000/01/rdf-schema#label art gallery theorem
gptkbp:provenBy vertex coloring
gptkbp:relatedTo polygon triangulation
guard problem
gptkbp:state For a simple polygon with n vertices, ⌊n/3⌋ guards are sufficient to cover the interior
gptkbp:usedIn computer graphics
robotics
surveillance
gptkbp:yearProposed 1975
gptkbp:bfsParent gptkb:edge_guard_problem
gptkbp:bfsLayer 7