English

Convergent sequences of combinatorial submodular setfunctions

Combinatorics 2025-07-22 v1

Abstract

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 submodular setfunctions for which convergence of appropriate sequences can be proved. Some of the proofs are surprisingly nontrivial.

Keywords

Cite

@article{arxiv.2507.15105,
  title  = {Convergent sequences of combinatorial submodular setfunctions},
  author = {Kristóf Bérczi and Márton Borbényi and László Lovász and László Márton Tóth},
  journal= {arXiv preprint arXiv:2507.15105},
  year   = {2025}
}

Comments

14 pages

R2 v1 2026-07-01T04:10:13.601Z