34 citations · 68 across the 12 of their papers we have counts for
12 papers
Facets of the cone of exact games
Milan Studený, Václav Kratochvíl
The class of exact transferable utility coalitional games, introduced in 1972 by Schmeidler, has been studied both in the context of game theory and in the context of imprecise pro…
Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities
Milan Studeny
The paper deals with conditional linear information inequalities valid for entropy functions induced by discrete random variables. Specifically, the so-called conditional Ingleton…
Facets of the Cone of Totally Balanced Games
Tomáš Kroupa, Milan Studený
The class of totally balanced games is a class of transferable-utility coalitional games providing important models of cooperative behavior used in mathematical economics. They coi…
Basic facts concerning supermodular functions
Milan Studeny
Elementary facts and observations on the cone of supermodular set functions are recalled. The manuscript deals with such operations with set functions which preserve supermodularit…
Polyhedral aspects of score equivalence in Bayesian network structure learning
James Cussens, David Haws, Milan Studeny
This paper deals with faces and facets of the family-variable polytope and the characteristic-imset polytope, which are special polytopes used in integer linear programming approac…
Core-based criterion for extreme supermodular functions
M. Studený, T. Kroupa
We give a necessary and sufficient condition for extremality of a supermodular function based on its min-representation by means of (vertices of) the corresponding core polytope. T…