Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
convex polytopes
simplicial spheres |
| gptkbp:describes |
maximum number of faces of a convex polytope
|
| gptkbp:field |
polyhedral combinatorics
combinatorial topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Upper Bound Theorem
|
| gptkbp:provenBy |
gptkb:Peter_McMullen
|
| gptkbp:relatedTo |
gptkb:cyclic_polytope
gptkb:neighborly_polytope face lattice f-vector |
| gptkbp:state |
The cyclic polytope has the maximal number of faces among all polytopes with the same dimension and number of vertices.
|
| gptkbp:yearProved |
1970
|
| gptkbp:bfsParent |
gptkb:Peter_McMullen
|
| gptkbp:bfsLayer |
6
|