A Note on Planar and Dismantlable Lattices

Details A Note on Planar and Dismantlable Lattices A Note on Planar and Dismantlable Lattices

2000-06-19

arxiv.org/abs/math/0006131v1

Mathematics

Combinatorics

5 pages

Scientific paper

It is shown that any finite, rank-connected, dismantlable lattice is
lexicographically shellable (hence Cohen-Macaulay). A ranked,
interval-connected lattice is shown to be rank-connected, but a rank-connected
lattice need not be interval-connected. An example of a planar, rank-connected
lattice that is not admissible is given.

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