4 papers · 1 filter
Interaction between skew-representability, tensor products, extension properties, and rank inequalities
Kristóf Bérczi, Boglárka Gehér, András Imolay +3
Skew-representable matroids form a fundamental class in matroid theory, bridging combinatorics and linear algebra. They play an important role in areas such as coding theory, optim…
Matroid products via submodular coupling
Kristóf Bérczi, Boglárka Gehér, András Imolay +3
The study of matroid products traces back to the 1970s, when Lovász and Mason studied the existence of various types of matroid products with different strengths. Among these, the…
Multicolor Turán numbers
András Imolay, János Karl, Zoltán Lóránt Nagy +1
We consider a natural generalisation of Turán's forbidden subgraph problem and the Ruzsa-Szemerédi problem by studying the maximum number of edge-disjoint copies of a f…
Clique number of Xor products of Kneser graphs
András Imolay, Anett Kocsis, Ádám Schweitzer
In this article we investigate a problem in graph theory, which has an equivalent reformulation in extremal set theory similar to the problems researched in "A general 2-part Erdős…