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Group edge choosability of planar graphs without adjacent short cycles |
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| Authors: | Xin Zhang Gui Zhen Liu |
| Affiliation: | 1. Department of Mathematics, Xidian University, Xi’an, 710071, P. R. China 2. School of Mathematics, Shandong University, Ji’nan, 250100, P. R. China |
| Abstract: | In this paper, we prove that 2-degenerate graphs and some planar graphs without adjacent short cycles are group (Δ(G)+1)-edge-choosable, and some planar graphs with large girth and maximum degree are group Δ(G)-edge-choosable. |
| Keywords: | Group edge coloring list coloring planar graphs short cycles girth |
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