Semantic Scholar
Open Access
2012
31 sitasi
Rees products and lexicographic shellability
Svante Linusson
J. Shareshian
M. Wachs
Abstrak
We use the theory of lexicographic shellability to provide various examples in which the rank of the homology of a Rees product of two partially ordered sets enumerates some set of combinatorial objects, perhaps according to some natural statistic on the set. Many of these examples generalize a result of J. Jonsson, which says that the rank of the unique nontrivial homology group of the Rees product of a truncated Boolean algebra of degree $n$ and a chain of length $n-1$ is the number of derangements in $\S_n$.\
Topik & Kata Kunci
Penulis (3)
S
Svante Linusson
J
J. Shareshian
M
M. Wachs
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2012
- Bahasa
- en
- Total Sitasi
- 31×
- Sumber Database
- Semantic Scholar
- DOI
- 10.4310/JOC.2012.V3.N3.A1
- Akses
- Open Access ✓