Name
Abstract | ||
|---|---|---|
We study here the affine space generated by the extendedf-vectors of simplicial homology (d − 1)-spheres which are balanced of a given type. This space is determined, and its dimension is computed, by deriving a balanced version of the Dehn-Sommerville equations and exhibiting a set of balanced polytopes whose extendedf-vectors span it. To this end, a unique minimal complex of a given type is defined, along with a balanced version of stellar subdivision, and such a subdivision of a face in a minimal complex is realized as the boundary complex of a balanced polytope. For these complexes, we obtain an explicit computation of their extendedh-vectors, and, implicitly,f-vectors. |
Year | DOI | Venue |
|---|---|---|
1987 | 10.1007/BF02187885 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Simplicial Complex,Homology Sphere,Balance Complex,Minimal Type,Balance Case | Topology,Discrete mathematics,Combinatorics,Affine space,Enumeration,Simplicial homology,Polytope,Subdivision,Simplicial complex,Mathematics,Homology sphere,Computation | Journal |
Volume | Issue | ISSN |
2 | 1 | 0179-5376 |
Citations | PageRank | References |
2 | 0.53 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Louis J. Billera | 1 | 279 | 57.41 |
| Katherine E. Magurn | 2 | 2 | 0.53 |