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图的2-强边色数的上界(英文)

UPPER BOUND ON 2-STRONG EDGE CHROMATIC NUMBERS OF GRAPHS
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摘要 本文研究了图的2-强边色数的上界.利用图染色的概率方法中的一般局部引理,得到了3≤Δ≤730时,χs(G,2)≤2Δ+1,推广了参考文献[11。 In this paper, we study the upper bound for the the r-strong edge chromatic number of regular graph. By probability method, we prove that if 3≤△≤730, then x's(G,2)≤2△+1 by the general local lemma, which extends some corresponding results in [11, 12].
出处 《数学杂志》 CSCD 北大核心 2014年第2期259-264,共6页 Journal of Mathematics
基金 Supported by National Natural Science Foundation of China(11071169)
关键词 2-强边染色 2-强边色数 一般局部引理 2-strong edge coloring 2-strong edge chromatic number the general local lemma
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  • 1ZHANG Zhongfu,LI Jingwen,CHEN Xiang’en,YAO Bing, WANG Wenjie & QIU Pengxiang Institute of Applied Mathematic, Lanzhou Jiaotong University, Lanzhou 730070, China,College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China,College of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China.D(β)-vertex-distinguishing total coloring of graphs[J].Science China Mathematics,2006,49(10):1430-1440. 被引量:56
  • 2ZHANG Zhongfu, CHEN Xiang’en, LI Jingwen, YAO Bing, LU Xinzhong & WANG Jianfang College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China,Department of Computer, Lanzhou Normal College, Lanzhou 730070, China,Institute of Applied Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China,College of Information and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China,Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China.On adjacent-vertex-distinguishing total coloring of graphs[J].Science China Mathematics,2005,48(3):289-299. 被引量:175
  • 3张忠辅,王建方.关于图的全着色——一个综述[J].数学进展,1992,21(4):390-397. 被引量:60

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