The asymptotic number of planar, slim, semimodular lattice diagrams
arXiv:1206.3679 · doi:10.1007/s11083-015-9361-0
Abstract
A lattice L is slim if it is finite and the set of its join-irreducible elements contains no three-element antichain. We prove that there exists a positive constant C such that, up to similarity, the number of planar diagrams of these lattices of size n is asymptotically C times 2 to the n.
arXiv comment7 pages, 2 figures