For set functions, the class of M-concavity is a proper subclass of submodularity. It is a well-known fact that the set of minimizers of a submodular function forms a distributive lattice, where every finite distributive lattice is possible to appear. It is a natural question whether every ...
It is known that given a finite group , there exists a finite distributive lattice such that . It is also known that one cannot expect to find a finite orthocomplemented distributive (Boolean) lattice such that . In this paper it is shown that there does exist a finite orthomodular lattice...
Blair, C.: Every finite distributive lattice is a set of stable matchings. J. Comb. Theory A 37, 353–356 (1984)Blair, C.: Every finite distributive lattice is a set of stable matchings. J. Comb. Theory A 37, 353-356 (1984)....