Name
Title | ||
|---|---|---|
A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes |
Abstract | ||
|---|---|---|
The f-vector of a convex d-polytope P is the vector f(P) = (f0(P), f1(P),…, fd − 1(P)), where fj(P) is the number of j-dimensional faces of P. McMullen in 1971 proposed a characterization of the set of all f-vectors of simplicial convex d-polytopes. In 1979 the authors announced the sufficiency of the characterization and Stanley proved its necessity. We give here a proof of the sufficiency of McMullen's conditions. |
Year | DOI | Venue |
|---|---|---|
1981 | 10.1016/0097-3165(81)90058-3 | Journal of Combinatorial Theory, Series A |
Keywords | Field | DocType |
convex polytope | Discrete mathematics,Combinatorics,Regular polygon,Polytope,Convex polytope,h-vector,Mathematics | Journal |
Volume | Issue | ISSN |
31 | 3 | 0097-3165 |
Citations | PageRank | References |
52 | 20.32 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Louis J. Billera | 1 | 279 | 57.41 |
| Carl W. Lee | 2 | 103 | 35.15 |