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两类完全4-部图的邻点可区别正常边染色

The Adjacent Vertex Distinguishing Proper Edge Coloring of Two Class Complete 4-partite Graphs
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摘要 主要讨论了两类完全4-部图的邻点可区别正常边染色.具体验证了邻点可区别正常边染色色数的猜想对该类图是成立的. The adjacent vertex distinguishing proper edge chromatic numbers of two class complete 4-partite graphs are discussed and the results illustrate that the adjacent vertex distinguishing proper edge coloring conjecture is true for these graphs.
出处 《兰州工业高等专科学校学报》 2012年第5期56-58,共3页 Journal of Lanzhou Higher Polytechnical College
关键词 完全4-部图 边染色 邻点可区别正常边染色 complete 4-partite graph edge coloring adjacent vertex distinguishing proper edge coloring
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参考文献7

  • 1Burris A C, Schelp R H. Vertex-distinguishing proper-edge-colorings[ J]. J of Graph Theory,1997 , 26 ( 2 ):73-82.
  • 2Zhong-fu Zhang, Lin-zhong Liu, Jian-fang Wang. Adja-cent strong edge coloring of graphs[ J]. Applied Mathe-matics Letters ,2002,15 ;623-626.
  • 3赵新梅,贾爱霞,曾贤灏.P_n^k的邻点可区别正常边染色[J].兰州工业高等专科学校学报,2011,18(5):4-6. 被引量:1
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二级参考文献17

  • 1李敬文,刘君,包世堂,任志国,赵传成,张忠辅.C_m·F_n的邻点可区别边色数[J].兰州交通大学学报,2004,23(4):128-130. 被引量:7
  • 2A C Burris and R H Schelp. Vertex-distinguishing prop- er edge-colorings [ J ]. J. of Graph Theory, 1997,26 (2) : 73-82.
  • 3Odile Favaron, Hao Li and R H Schelp. Strong edge- coloring of graphs[ J]. Dscrete Mathematics 1996,159 : 103-109.
  • 4Bondy J A and Murty U S R. Graph Theory with Appli- cations [ M ]. New York: Macmillan. Longdon and Elsevier, 1976.
  • 5Zhong-fu Zhang, Lin-zhong Liu , Jian-fang Wang. Ad- jacent strong edge coloring of graphs [ J ]. Applied Mathematics Letters, 2002,15 : 623-626.
  • 6Zhong-fu Zhang, Jian-xun Zhang. Some sufficient con- ditions for a graph to be in the first class [ J ].Journal Mathematics 5, 1985,2: 161-165.
  • 7Burris A C,Schelp R H.Vertex-distinguishing proper edge-colorings[J].J of Graph Theory,1997,26:73-82.
  • 8Favaron Odile,Li Hao,Shelp R H.Strong edge-coloring of graphs[J].Discrete Mathematics,1996,159:103-109.
  • 9Zhang Zhongfu,Liu Linzhong,Wang Jianfang.Adjacent strong edge coloring of graphs[J].Applied Mathematics Letters,2002,15:623-626.
  • 10Liu Linzhong,Li Yinzhen,Zhang Zhongfu etc.On the adjacent strong edge coloring of Halin graphs[J].Journal of Mathematical Reaserch & Exposition.2003,2:241-246.

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