1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CO2024
Optimizing Extension Techniques for Discovering Non-Algebraic Matroids
Michael Bamiloshin, Oriol Farràs
In this work, we revisit some combinatorial and information-theoretic extension techniques for detecting non-algebraic matroids. These are the Dress-Lovász and Ahlswede-Körner exte…
math.CO2023★ 1 cited
A Note on Extension Properties and Representations of Matroids
Michael Bamiloshin, Oriol Farràs, Carles Padró
We discuss several extension properties of matroids and polymatroids and their application as necessary conditions for the existence of different matroid representations, namely li…
math.CO2020
Common Information, Matroid Representation, and Secret Sharing for Matroid Ports
Michael Bamiloshin, Aner Ben-Efraim, Oriol Farràs +1
Linear information and rank inequalities as, for instance, Ingleton inequality, are useful tools in information theory and matroid theory. Even though many such inequalities have b…