In 1983, Bouchet proposed a conjecture that every flow-admissible signed graph admits a nowhere-zero 6-flow. Bouchet himself proved that such signed graphs admit nowhere-zero 216-flows and Zýka further proved that such signed graphs admit nowhere-zero 30-flows. In this paper we show that every flow-admissible signed graph admits a nowhere-zero 11-flow.

中文翻译：

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流量允许签名图上的流量

1983年，Bouchet提出了一个猜想，即每个允许流的有符号图都承认无处零的6流。Bouchet本人证明了这种有符号图不接受零-零216个流，而Zýka进一步证明了这样的符号图不接受零-零的30个流。在本文中，我们证明了每个允许流的有向图都承认无处零的11流。