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Let Fc(G) and F(G) be the circular and the integer flow number of a flow-admissible bidirected graph G, respectively. Raspaud and Zhu proved that F(G)≤2⌈Fc(G)⌉−1. This note shows that this result cannot be improved. Moreover, in the same paper, Raspaud and Zhu conjectured that F(G)−Fc(G)<1 for every flow-admissible bidirected graph G. This conjecture was disproved by Schubert and Steffen, who showed...
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