Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Hadwiger_conjecture_(combinatorial_geometry)> ?p ?o. }
Showing items 1 to 25 of
25
with 100 items per page.
- Hadwiger_conjecture_(combinatorial_geometry) abstract "In combinatorial geometry, the Hadwiger conjecture states that any convex body in n-dimensional Euclidean space can be covered by 2n or fewer smaller bodies homothetic with the original body, and that furthermore, the upper bound of 2n is necessary iff the body is a parallelepiped. There also exists an equivalent formulation in terms of the number of floodlights needed to illuminate the body.The Hadwiger conjecture is named after Hugo Hadwiger, who included it on a list of unsolved problems in 1957; it was, however, previously studied by Levi (1955) and independently, Gohberg & Markus (1960). Additionally, there is a different Hadwiger conjecture concerning graph coloring—and in some sources the geometric Hadwiger conjecture is also called the Levi–Hadwiger conjecture or the Hadwiger–Levi covering problem.The conjecture remains unsolved even in three dimensions, though the two dimensional case was resolved by Levi (1955).".
- Hadwiger_conjecture_(combinatorial_geometry) thumbnail Hadwiger_covering.svg?width=300.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageID "21851601".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageRevisionID "599959207".
- Hadwiger_conjecture_(combinatorial_geometry) hasPhotoCollection Hadwiger_conjecture_(combinatorial_geometry).
- Hadwiger_conjecture_(combinatorial_geometry) subject Category:Conjectures.
- Hadwiger_conjecture_(combinatorial_geometry) subject Category:Discrete_geometry.
- Hadwiger_conjecture_(combinatorial_geometry) type Abstraction100002137.
- Hadwiger_conjecture_(combinatorial_geometry) type Cognition100023271.
- Hadwiger_conjecture_(combinatorial_geometry) type Concept105835747.
- Hadwiger_conjecture_(combinatorial_geometry) type Conjectures.
- Hadwiger_conjecture_(combinatorial_geometry) type Content105809192.
- Hadwiger_conjecture_(combinatorial_geometry) type Hypothesis105888929.
- Hadwiger_conjecture_(combinatorial_geometry) type Idea105833840.
- Hadwiger_conjecture_(combinatorial_geometry) type PsychologicalFeature100023100.
- Hadwiger_conjecture_(combinatorial_geometry) type Speculation105891783.
- Hadwiger_conjecture_(combinatorial_geometry) comment "In combinatorial geometry, the Hadwiger conjecture states that any convex body in n-dimensional Euclidean space can be covered by 2n or fewer smaller bodies homothetic with the original body, and that furthermore, the upper bound of 2n is necessary iff the body is a parallelepiped.".
- Hadwiger_conjecture_(combinatorial_geometry) label "Hadwiger conjecture (combinatorial geometry)".
- Hadwiger_conjecture_(combinatorial_geometry) sameAs m.05p2cj3.
- Hadwiger_conjecture_(combinatorial_geometry) sameAs Q5638115.
- Hadwiger_conjecture_(combinatorial_geometry) sameAs Q5638115.
- Hadwiger_conjecture_(combinatorial_geometry) sameAs Hadwiger_conjecture_(combinatorial_geometry).
- Hadwiger_conjecture_(combinatorial_geometry) wasDerivedFrom Hadwiger_conjecture_(combinatorial_geometry)?oldid=599959207.
- Hadwiger_conjecture_(combinatorial_geometry) depiction Hadwiger_covering.svg.
- Hadwiger_conjecture_(combinatorial_geometry) isPrimaryTopicOf Hadwiger_conjecture_(combinatorial_geometry).