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A facial parity edge colouring of a connected bridgeless plane graph is such an edge colouring in which no two face-adjacent edges receive the same colour and, in addition, for each face f and each colour c, either no edge or an odd number of edges incident with f is coloured with c. Let χp′(G) denote the minimum number of colours used in such a colouring of G. In this paper we prove that χp′(G)≤20...
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