Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654241 | European Journal of Combinatorics | 2009 | 9 Pages |
Abstract
Related to activities in matroids, J.E. Dawson introduced a construction that leads to partitions of the Boolean lattice of parts of a set into intervals. In this paper we characterize explicitly the partitions of a Boolean lattice into intervals that arise from this construction, and we prove that the construction is essentially unique.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Josep M. Brunat, António Guedes de Oliveira, Marc Noy,