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Edge-face Chromatic Number of 2-connected 1-tree with △(G) = 5

Edge-face Chromatic Number of 2-connected 1-tree with △(G) = 5
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摘要 Wang Vei-fan proved that the edge-face chromatic number of a 2-connected1-tree with the maximum degree is not less than 6 is its maximum degree, and he conjecturedthat it is true when the maximum degree is 5. This paper proves the conjecture. Wang Wei-fan[1] proved that the edge-face chromatic number of a 2-connected 1-tree with the maximum degree is not less than 6 is its maximum degree, and he conjectured that it is true when the maximum degree is 5. This paper proves the conjecture.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第1期90-94,共5页 数学季刊(英文版)
关键词 平面图 推测 次数 约束 顶点 edge-face chromatic number 1-tree
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二级参考文献3

  • 1Wang Weifan,Chin Sci Bull,1998年,43卷,3期,330页
  • 2Lin Cuiqin,Discrete Math,1995年,141卷,291页
  • 3Wang Weifan,Discrete Math,1995年,147卷,257页

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