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Group edge choosability of planar graphs without adjacent short cycles

Published 24 Feb 2011 in math.CO and cs.DM | (1102.4980v3)

Abstract: In this paper, we aim to introduce the group version of edge coloring and list edge coloring, and prove that all 2-degenerate graphs along with some planar graphs without adjacent short cycles is group $(\Delta(G)+1)$-edge-choosable while some planar graphs with large girth and maximum degree is group $\Delta(G)$-edge-choosable.

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