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- 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) wikiPageLength "6678".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageOutDegree "27".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageRevisionID "641264780".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Borsuks_conjecture.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Bounded_set.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Category:Conjectures.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Category:Discrete_geometry.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Convex_body.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Convex_set.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Discrete_geometry.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Euclidean_space.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink File:Hadwiger_covering.svg.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Friedrich_Wilhelm_Levi.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Graph_coloring.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Hadwiger_conjecture_(graph_theory).
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Homothetic_transformation.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Hugo_Hadwiger.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Hypercube.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink If_and_only_if.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Parallelepiped.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Scalar_multiplication.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Simplex.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Surface_of_constant_width.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Tangent_space.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Translation_(geometry).
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Vertex_(geometry).
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Vladimir_Boltyansky.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLink Zonohedron.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLinkText "Hadwiger conjecture (combinatorial geometry)".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLinkText "Hadwiger conjecture in combinatorial geometry".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLinkText "Hadwiger conjecture".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageWikiLinkText "Hadwiger's conjecture".
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageUsesTemplate Template:Citation.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageUsesTemplate Template:Harvtxt.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageUsesTemplate Template:Reflist.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageUsesTemplate Template:See_also.
- Hadwiger_conjecture_(combinatorial_geometry) wikiPageUsesTemplate Template:Unsolved.
- Hadwiger_conjecture_(combinatorial_geometry) subject Category:Conjectures.
- Hadwiger_conjecture_(combinatorial_geometry) subject Category:Discrete_geometry.
- Hadwiger_conjecture_(combinatorial_geometry) hypernym Iff.
- Hadwiger_conjecture_(combinatorial_geometry) type Conjecture.
- Hadwiger_conjecture_(combinatorial_geometry) type Statement.
- Hadwiger_conjecture_(combinatorial_geometry) type Statement.
- Hadwiger_conjecture_(combinatorial_geometry) type Thing.
- 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) seeAlso Hadwiger_conjecture_(graph_theory).
- Hadwiger_conjecture_(combinatorial_geometry) sameAs Q5638115.
- Hadwiger_conjecture_(combinatorial_geometry) sameAs m.05p2cj3.
- Hadwiger_conjecture_(combinatorial_geometry) sameAs Гипотеза_Хадвигера_(комбинаторная_геометрия).
- Hadwiger_conjecture_(combinatorial_geometry) sameAs Q5638115.
- Hadwiger_conjecture_(combinatorial_geometry) wasDerivedFrom Hadwiger_conjecture_(combinatorial_geometry)?oldid=641264780.
- Hadwiger_conjecture_(combinatorial_geometry) depiction Hadwiger_covering.svg.
- Hadwiger_conjecture_(combinatorial_geometry) isPrimaryTopicOf Hadwiger_conjecture_(combinatorial_geometry).