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Nowhere-zero 8-flows in 3-edge-connected signed graphs

Year: 2025
Type: preprint
Abstract: In 1983, A. Bouchet extended W.T. Tutte's notion of nowhere-zero flows to signed graphs, and conjectured that every flow-admissible signed graph has a nowhere-zero 6-flow. In this paper we prove that every flow-admissible signed graph that is 3-edge-connected has a nowhere-zero 8-flow. This is a continuation of a previous paper where we proved the same conclusion under stronger assumptions.
Open Access status: green
OpenAlex ID: W7117124671
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