Eighty-three sublattices and planarity
Gábor Czédli · SZTE Publicatio Repozitórium (University of Szeged) · 2019
Abstract Let L be a finite n -element lattice. We prove that if L has at least $$83\cdot 2^{n-8}$$ 83·2n-8 sublattices, then L is planar. For $$n>8$$ n>8 , this result is sharp since there is a non-planar lattice with exactly $$83\cdot 2^{n-8}-1$$ 83·2n-8-1 sublattices.