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On Vertex-Distinguishing Proper Edge Colorings of Graphs Satisfying the Ore Condition
Chen, M. R. ; Guo, X. F. ; Guo XF(郭晓峰)
2010-10
关键词OBSERVABILITY
英文摘要NSFC [10831001]; An edge coloring is proper if no two adjacent edges are assigned the same color and vertex-distinguishing proper coloring if it is proper and incident edge sets of every two distinct vertices are assigned different sets of colors. The minimum number of colors required for a vertex-distinguishing proper edge coloring of a simple graph G is denoted by (chi) over tilde'(G). In this paper, we prove that (chi) over tilde'(G) <= Delta(G) + 4 if G = (V, E) is a connected graph of order n >= 3 and sigma(2)(C) >= n, where sigma(2)(G) = min{d(x) + d(y)| for all xy is not an element of E(G)}.
语种英语
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/66734]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
Chen, M. R.,Guo, X. F.,Guo XF. On Vertex-Distinguishing Proper Edge Colorings of Graphs Satisfying the Ore Condition[J],2010.
APA Chen, M. R.,Guo, X. F.,&郭晓峰.(2010).On Vertex-Distinguishing Proper Edge Colorings of Graphs Satisfying the Ore Condition..
MLA Chen, M. R.,et al."On Vertex-Distinguishing Proper Edge Colorings of Graphs Satisfying the Ore Condition".(2010).
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