3 papers
math.CO2026
Logarithmic convergence of finite projective planes
Márton Borbényi, Panna TÃmea Fekete, Aranka HruÅ¡ková +1
In this paper, we study the so-called log-convergence of graphs defined by Balázs Szegedy (arXiv:1504.00858). We answer his Question 4 affirmatively: the sequence of incidence gra…
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…
math.CO2024
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…