Name
Abstract | ||
|---|---|---|
It is proved that if Δ is a finite acyclic simplicial complex, then there is a subcomplex Δ′ ⊂ Δ and a bijection η : Δ ′ → Δ − Δ ′ such that F ⊂ η ( F ) and | η ( F )− F |=1 for all F ∈ Δ ′. This improves an earlier result of Kalai. An immediate corollary is a characterization (first due to Kalai) of the f -vector of an acyclic simplicial complex. Several generalizations, some proved and some conjectured, are discussed. |
Year | DOI | Venue |
|---|---|---|
1993 | 10.1016/0012-365X(93)90574-D | Discrete Mathematics |
Keywords | Field | DocType |
combinatorial decomposition,acyclic simplicial complex,discrete mathematics,simplicial complex | Discrete mathematics,Betti number,Combinatorics,Simplicial approximation theorem,Combinatorial method,Simplicial homology,Simplicial complex,h-vector,Partition (number theory),Abstract simplicial complex,Mathematics | Journal |
Volume | Issue | ISSN |
120 | 1-3 | Discrete Mathematics |
Citations | PageRank | References |
3 | 1.93 | 2 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Richard P. Stanley | 1 | 3 | 1.93 |