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arXiv · 2410.20257

A Short Note on Relevant Cuts

Nico Domschke·Thomas Gatter·Richard Golnik·Peter F. Stadler
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Abstract

The set of relevant cuts in a graph is the union of all minimum weight bases of the cut space. A cut is relevant if and only if it is the a minimum weight cut between two distinct vertices. Moreover, we give a characterization in terms of Picard-Queyranne Directed Acyclic Graphs that can be used to accelerate the enumeration of the relevant cuts. Finally, we perform an experimental evaluation by comparing with state-of-the-art algorithms.

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Nico Domschke, Thomas Gatter, Richard Golnik, Peter F. Stadler. 2026-03-03. A Short Note on Relevant Cuts. https://doi.org/10.26493/2590-9770.1845.02e

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