%0 Journal Article %T 最大度为7的平面图全染色<br>Total coloring of planar graphs with maximum degree seven %A 王晓丽 %A 王慧娟 %A 刘彬< %A br> %A WANG Xiao-li %A WANG Hui-juan %A LIU Bin %J 山东大学学报(理学版) %D 2017 %R 10.6040/j.issn.1671-9352.0.2016.363 %X 摘要: 假设图G是最大度为7的平面图。 利用权转移的方法证明了,如果图G中弦5-圈和弦6-圈不相邻,那么图G的全色数是Δ+1。<br>Abstract: Let G be a planar graph with maximum degree Δ≥7. It is proved that if chordal 5-cycles of G are not adjacent to chordal 6-cycles, then its total chromatic number is Δ+1 by the discharging method %K 平面图 %K 全染色 %K 圈 %K 权转移 %K < %K br> %K total coloring %K cycle %K planar graph %K discharging %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.363