4 papers · 1 filter
Graphings with few circulations
Gábor Kun, László Márton Tóth
In 2021, motivated by graph limit theory Lovász extended most of the theory of flows to a measure theoretic setting. Using this framework, the first author constructed -regular…
Convergent sequences of combinatorial submodular setfunctions
Kristóf Bérczi, Márton Borbényi, László Lovász +1
To illustrate that the notion of convergence of submodular function sequences fits reasonably into the limit theory of graphs, we describe several classes of matroids and other sub…
Quotient-convergence of Submodular Setfunctions
Kristóf Bérczi, Márton Borbényi, László Lovász +1
We introduce the concept of quotient-convergence for sequences of submodular set functions, providing, among others, a new framework for the study of convergence of matroids throug…
Cycle Matroids of Graphings: From Convergence to Duality
Kristóf Bérczi, Márton Borbényi, László Lovász +1
A recent line of research has concentrated on exploring the links between analytic and combinatorial theories of submodularity, uncovering several key connections between them. In…