2 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
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…