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Paper detail

Classes of 3-regular graphs that are (7, 2)-edge-choosable

A graph is (7, 2)-edge-choosable if, for every assignment of lists of size 7 to the edges, it is possible to choose two colors for each edge from its list so that no color is chosen for two incident edges. We show that every 3-edge-colorable graph is (7, 2)-edge-choosable and also that many non-3-edge-colorable 3-regular graphs are (7, 2)-edge-choosable.

preprint2008arXivOpen access
Daniel W. CranstonDouglas B. West
math.CO
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Daniel W. CranstonDouglas B. West

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