3 papers
math.CO2025
Graphical view on linear extensions of finite posets
Milan Studený, Václav KratochvÃl
One of the possible cryptomorphic definitions of a partially ordered set (= a poset) on a non-empty finite ground set is in terms of the set of all its linear…
math.CO2024
Self-adhesivity in lattices of abstract conditional independence models
Tobias Boege, Janneke H. Bolt, Milan Studený
We introduce an algebraic concept of the frame for abstract conditional independence (CI) models, together with basic operations with respect to which such a frame should be closed…
math.CO2024
On combinatorial descriptions of faces of the cone of supermodular functions
Milan Studený
Five different ways of combinatorial description of non-empty faces of the cone of supermodular functions on the power set of a finite basic set are introduced. Their identific…