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关于(K_n^-)~t 的点可区别正常边染色(英文) 被引量:4

Vertex-Distinguishing Proper Edge-Colorings on (K_n^-)~t
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摘要 一个图的边染色称为是点可区别的 ,如果任意两个不同的顶点的关联边的颜色的集合不同 .设K-tn 表示从 n阶完全图中删去 t条彼此不相邻的边后所得到的图 .本文对 K-tn 的点可区别正常边染色进行了讨论 . An edge-coloring is called vertex-distinguishing if every two distinct vertices are incident to different set of colored edges. Suppose K -t n denote the graph obtained from complete graph K n by deleting a t-matching. The vertex-distinguishing proper edge-colorings on K -t n are discussed in this paper.
出处 《数学研究》 CSCD 2004年第4期376-380,共5页 Journal of Mathematical Study
基金 ThisworkwassupportedbytheYouthTeacherFoundationofNorthwestNormalUni-versity(NWN-QN-2003-22)
关键词 染色 边染色 点可区别正常边染色 coloring edge-coloring vertex-distinguishing proper edge-coloring
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参考文献4

  • 1Balister P N, Bollobás B, Schelp R H. Vertex distinguishing colorings of graphs with Δ(G)=2. Discrete Mathematics, 2002, 252:17-29.
  • 2Balister P N, Riordan O M, Schelp R H. Vertex-distinguishing edge colorings of graphs. J. Graph Theory, 2003, 42:95-109.
  • 3Bazgan C, Harkat-Benhamdine A, Li Hao and Wo z′niak M. On the vertex-distinguishing proper edge colorings of graphs. J. Combin Theory, Series B, 1999, 75:288-301.
  • 4Burris A C, Schelp R H. Vertex-distinguishing proper edge-colorings. J. of Graph Theory, 1997, 26:73-82.

同被引文献24

  • 1包世堂,赵传成,刘君,任志国.P_mⅴK_n的点可区别边染色[J].甘肃高师学报,2004,9(5):16-17. 被引量:1
  • 2刘利群,陈祥恩.图K_4~c∨K_t的点可区别正常边染色及其推广[J].长江大学学报(自然科学版),2005,2(7):193-195. 被引量:3
  • 3Burris A C,Schelp R H.Vertex-distinguishing proper edge-coloring[J].J of GraphTheory,1997,26(2):73-82.
  • 4Bazgan C,Harkat-Benhamdine A,Li H,et al.On the Vertex-distinguishing properedge-coloring[J].Combin Theory Ser B,1999,75(2):288-301.
  • 5Balister P N,Bollobas B,Shelp R H.Vertex-distinguishing coloring of graph with2[J].Discrete Mathematics,2002,252(2):17-29.
  • 6Zhang Zhongfu,liu Linzhong,Wang Jianfang.Adjacent strong edge coloring ofgraph[J].Applied Mathematics Letters,2002,15(5):623-626.
  • 7Rudaová J,Soták R.Vertex-distinguishing proper edge colorings of some regulargraphs[J].Discrete Math,2008,308:795-802.
  • 8Bondy J A and Murty U S R.Graph theory[M].London:Springer,2008.
  • 9Burris A C,Schelp R H.Vertex-distingguishing proper edge-coloring[J].J of Graph Theory,1997,26 (2):73-82.
  • 10Bazgan C,Harkat-Benhamdine A,Li H,et al.On the Vertex-distinguishing proper edge-coloring[J].Combin Theory Ser B,1999,75(2):288-301.

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