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四类圈树的连续边着色 被引量:1

Consecutive Colorings of Four Classes of Cycle Trees
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摘要 设G是简单图,用颜色1,2,3,…对G进行正常边着色,若每一个顶点上表现的颜色都能构成一个连续的整数集合,则称这个边着色是连续的.图G的亏度def(G)等于粘在G上使它可连续边着色的悬挂边的最小数目.文章研究了四类圈树的亏度. Given a simple graph G,an edge-coloring of G with consecutive if the colors represented at each vertex form an interva G which is denoted by def(G)is the minimum number of pendant e G consecutively colorable. We discuss the deficiency of four classes 1 of colors 1,2,3, … is called integers. The deficiency of dges wh of cycle ose attachment makes trees.
作者 王俊梅
机构地区 吕梁学院数学系
出处 《太原师范学院学报(自然科学版)》 2012年第4期4-6,共3页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 正常边着色 连续边着色 亏度 圈树 proper edge coloring consecutive colorings deficiency of graph cycle trees
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参考文献7

  • 1Bondy J A,Murty U S R. Graph theory with application [M]. London: Mamilian Press,1976. 被引量:1
  • 2Giaro K, Kubale M, Malafiejski M. Consecutive colorings of general graphs [J]. Discrete Mathematics, 2001,236:131-143. 被引量:1
  • 3Asratian A S,Kamalian R R. Investigation on interval edge-coloring of graphs [J]. Journal of Combinatorial Theory Series B, 1994,62 : 34-43. 被引量:1
  • 4王俊梅,王世英.几类图的连续边着色[J].太原师范学院学报(自然科学版),2007,6(3):99-100. 被引量:1
  • 5王俊梅..两类图的连续边着色[D].山西大学,2008:
  • 6Feng Yongde,Zhai Shaohui. Consecutive colorings of the edges of 0-graph [J]. Journal of Xinjiang University(Natural Science Edition) ,2005,22(2) : 147-150. 被引量:1
  • 7Zhang Weijuan. Consecutive colorings of the edges of unicyclic and bicyclic graphs[J]. Journal of Xinjiang University(Natural Science Edition), 2006,23(1) : 20-25. 被引量:1

二级参考文献5

  • 1[1]Bondy J A,Murty U S R.Graph theory with application[M].London:Mamilian Press,1976 被引量:1
  • 2[2]Giaro K,Kubale M,Malafiejski M.Consecutive colorings of general graphs[J].Discrete Mathematics,2001(236):131-143 被引量:1
  • 3[3]Asratian A S,Kamalian R R.Investigation on interval edge-coloring of graphs[J].Journal of Combinatorial Theory Series B,1994(62):34-43 被引量:1
  • 4[4]Zhang Weijuan.Consecutive colorings of the edges of unicyclic and bicyclic graphs[J].Journal of Xinjiang University (Natural Science Edition),2006,23(1):20-25 被引量:1
  • 5[5]Feng Yongde,Zhai Shaohui.Consecutive colorings of the edges of graph[J].Journal of Xinjiang University (Natural Science Edition),2005,22(2):147-150 被引量:1

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