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arXiv · 2512.18923

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

Matt DeVos·Kathryn Nurse·Robert Šámal
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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.

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Matt DeVos, Kathryn Nurse, Robert Šámal. 2025-12-21. Nowhere-zero 8-flows in 3-edge-connected signed graphs. https://arxiv.org/abs/2512.18923

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