期刊文献+

最大度是6的图的2-距离列表染色

The List 2-Distance Coloring of a Graph with Maximum Degree Six
在线阅读 下载PDF
导出
摘要 研究了最大度为6的简单图G的2-距离列表染色问题.运用权转移的方法证明了对于最大度为6的简单图G,若最大平均度mad(G)<2+17/20,则G是10-2-距离列表可选的.该结果进一步拓展了最大度为6的图类的2-距离可选性. The problem of the choosability of the 2- distance coloring of a graph G with Δ( G) = 6was studied. We prove that ch2( G) ≤10if the maximum average degree mad( G) 2 +17/20 for Δ( G) = 6 by using discharging method. It generalized the choosability of the list 2- distance coloring of a graph G with Δ( G) = 6.
作者 王玥 孙磊
出处 《枣庄学院学报》 2016年第5期19-23,共5页 Journal of Zaozhuang University
基金 国家自然科学基金(项目编号:11271365) 山东省自然科学基金(项目编号:ZR2014JL001) 山东师范大学数学科学学院研究生创新基金
关键词 2-距离染色 列表染色 最大平均度 权转移 2-distance coloring list coloring maximum average degree discharge method
  • 相关文献

参考文献1

二级参考文献10

  • 1J van den Heuvel,McGuinness S.Coloring the square of a planar graph[].Journal of Geography.2003
  • 2Molloy M,Salavatipour M R.A bound on the chromatic number of the square of a planar graph[].Journal of Combinatorial Theory Series B.2005
  • 3Wegner G.Graphs with given diameter and coloring problem[]..1977
  • 4WANG Weifan,Lih K W.Labeling planar graphs with conditions on girth and distance two[].SIAM JDiscrete Mathematics.2003
  • 5Thomassen C.The square of a planar cubic graph is7-colorable[].Journal of Combinatorial Theory Series B.
  • 6Borodin O V,Broersma H J,Glebov A,et al.Stars and bunches in planar graphs.Part II:General planar graphs and colourings. CDAM Researches Report2002 -05 .
  • 7Havet F,van den Heuvel J,McDiarmid C,et al.List colouring square of planar graphs[].Electron Notes Discrete Math.2007
  • 8Dvórak Z,Krl D,NejedlyP,et al.Coloring squares of planar graphs with girth six[].European Journal of Combinatorics.2008
  • 9Borodin O V,Ivanova A O.2-Distance (△+2)-coloring of planar graphs with girth six and △≥18[].Discrete Mathematics.2009
  • 10Bu Y,Zhu X.An optimal square coloring of planar graphs[].Journal of Combinatorial Optimization.

共引文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部