Balanced list edge-colourings of bipartite graphs

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Abstract

Galvin solved the Dinitz conjecture by proving that bipartite graphs are Δ-edge-choosable. We employ Galvin's method to show some further list edge-colouring properties of bipartite graphs. In particular, there exist balanced list edge-colourings for bipartite graphs. In the light of our result, it is a natural question whether a certain generalization of the well-known list colouring conjecture is true.

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Research was supported by the OTKA K 69027 and the OTKA K 60802 projects and the MTA-ELTE Egerváry Research Group.

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