Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654083 | European Journal of Combinatorics | 2011 | 9 Pages |
Abstract
Attempts to enumerate maximal antichains in Boolean lattices give rise to problems involving maximal independent sets in bipartite graphs whose vertex sets are comprised of adjacent levels of the lattice and whose edges correspond to proper containment. In this paper, we find bounds on the numbers of maximal independent sets in these graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Dwight Duffus, Peter Frankl, VojtÄch Rödl,