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四类圈树的连续边着色
引用本文:王俊梅. 四类圈树的连续边着色[J]. 太原师范学院学报(自然科学版), 2012, 0(4): 4-6
作者姓名:王俊梅
作者单位:吕梁学院数学系
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.

关 键 词:正常边着色  连续边着色  亏度  圈树

Consecutive Colorings of Four Classes of Cycle Trees
Wang Junmei. Consecutive Colorings of Four Classes of Cycle Trees[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 0(4): 4-6
Authors:Wang Junmei
Affiliation:Wang Junmei(Department of Mathematics,Luliang University,Lishi 033000,China)
Abstract: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.
Keywords:proper edge coloring  consecutive colorings  deficiency of graph  cycle trees
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