Edge coloring of planar graphs without adjacent 7-cycles

Edge coloring of planar graphs without adjacent 7-cycles
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DOI:
10.1016/j.tcs.2018.05.006
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发表时间:
2018-08
期刊:
Theor. Comput. Sci.
影响因子:
--
通讯作者:
Wenwen Zhang;Jian-Liang Wu
Wenwen Zhang;Jian-Liang Wu
中科院分区:
其他
文献类型:
--
作者:
Wenwen Zhang;Jian-Liang Wu

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如果一个图的边色数等于这个图的最大度,我们就说它是第一类图。设G为最大度Δ≥6且无相邻7环的平面图,则G为第1类。
A graph is said to be of class 1 if its edge chromatic number is equal to the maximum degree of this graph. Let G be a planar graph with maximum degree Δ≥ 6 and without adjacent 7-cycles, then G is of class 1.