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math.CO2025
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…
math.PR2025
Skeletons and Spectra: Bernoulli graphings are relatively Ramanujan
Héctor Jardón-Sánchez, László Márton Tóth
The aim of this paper is to investigate the spectral theory of unimodular random graphs and graphings representing them. We prove that Bernoulli graphings are relatively Ramanujan…
math.CO2025
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…