Nowhere-zero flows in signed series-parallel graphs
classification
🧮 math.CO
keywords
graphsnowhere-zeroseries-parallelsignedflowadmitsbouchetcase
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Bouchet conjectured in 1983 that each signed graph that admits a nowhere-zero flow has a nowhere-zero 6-flow. We prove that the conjecture is true for all signed series-parallel graphs. Unlike the unsigned case, the restriction to series-parallel graphs is nontrivial; in fact, the result is tight for infinitely many graphs.
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