About polytopes of valuations on finite distributive lattices
Let L be a finite distributive lattice and V(L) the real vector space of all valuations on L. The author verifies the conjecture of \textit{L. Geissinger} [Combinatorics and computing, Proc. 3rd Caribb. Conf., Cave Hill/Barbados 1981, 125-133 (1981; Zbl 0523.06005)] that the extreme points of the convex polytope \(M(L)=\{v\in V(L):\) \(0\leq v\leq 1\}\) are precisely the 0-1 valuations.
scientific article; zbMATH DE number 3922724
scientific article