4 papers
Revisiting the Stability of the Ingleton Inequality: A Tropicalization-Free Approach
Laszlo Csirmaz
The classical Ingleton inequality is known to hold for entropic points under specific exact conditional independence constraints. Recently, Matveev and Romashchenko (2026) investig…
On the Supremum of Singleton Ratios in Submodular Functions
Laszlo Csirmaz
Let be a finite set of cardinality , and . A submodular function on with is defined to be -reduced if, for any decomposition into submodu…
Exploring the entropic region
Laszlo Csirmaz
The paper explores three known methods, their variants and limitations, that can be used to obtain new entropy inequalities. The Copy Lemma was distilled from the original Zhang-Ye…
Attempting the impossible: enumerating extremal submodular functions for n=6
Elod P. Csirmaz, Laszlo Csirmaz
Enumerating the extremal submodular functions defined on subsets of a fixed base set has only been done for base sets up to five elements. This paper reports the results of attempt…