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arXiv · 2507.15105

Convergent sequences of combinatorial submodular setfunctions

Kristóf Bérczi·Márton Borbényi·László Lovász·László Márton Tóth
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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.

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Kristóf Bérczi, Márton Borbényi, László Lovász, László Márton Tóth. 2025-07-20. Convergent sequences of combinatorial submodular setfunctions. https://arxiv.org/abs/2507.15105

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