A finite n-element semilattice is planar if it has at least 127 * 2^(n-8) subsemilattices, and this bound is sharp for n > 8 via an explicit non-planar counterexample with one fewer subsemilattice.
Acta Universitatis Matthiae Belii, Series Mathematics Online, 22–28 (2018), http://actamath.savbb.sk/oacta2018003.shtml
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
One hundred twenty-seven subsemilattices and planarity
A finite n-element semilattice is planar if it has at least 127 * 2^(n-8) subsemilattices, and this bound is sharp for n > 8 via an explicit non-planar counterexample with one fewer subsemilattice.