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arXiv · 2311.06611

The Lovász-Cherkassky theorem in infinite graphs

Attila Joó
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Abstract

Infinite generalizations of theorems in finite combinatorics were initiated by Erdős due to his famous Erdős-Menger conjecture (now known as the Aharoni-Berger theorem) that extends Menger's theorem to infinite graphs in a structural way. We prove a generalization of this manner of the classical result about packing edge-disjoint $ T $-paths in an ``inner Eulerian'' setting obtained by Lovász and Cherkassky independently in the '70s.

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Attila Joó. 2023-11-11. The Lovász-Cherkassky theorem in infinite graphs. https://arxiv.org/abs/2311.06611

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