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arXiv · 2601.05692

Bouchet's conjecture for cyclically 5-edge-connected, cubic signed graphs

Kathryn Nurse
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Abstract

A 1983 conjecture of Bouchet states that every flow-admissible signed graph has a nowhere-zero six-flow. We prove this conjecture for cyclically five-edge-connected, cubic signed graphs.

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Kathryn Nurse. 2026-01-09. Bouchet's conjecture for cyclically 5-edge-connected, cubic signed graphs. https://arxiv.org/abs/2601.05692

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