Rees products and lexicographic shellability
2012 (English)In: Journal of Combinatorics, ISSN 2156-3527, Vol. 3, no 3, 243-276 p.Article in journal (Refereed) Published
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 Sn.
Place, publisher, year, edition, pages
2012. Vol. 3, no 3, 243-276 p.
IdentifiersURN: urn:nbn:se:kth:diva-138313DOI: 10.4310/JOC.2012.v3.n3.a1OAI: oai:DiVA.org:kth-138313DiVA: diva2:681022
QC 201312192013-12-192013-12-182013-12-19Bibliographically approved