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几类弱积图的邻点可区别一般边染色 被引量:6

General neighbor-distinguishing edge coloring of several weak product graphs
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摘要 讨论了弱积图邻点可区别一般边染色,给出了P_(2n)×K_m,C_(2n)×C_(2m),C_(2n+1)×C_(2m+1),C_(2n+1)×K_m的邻点可区别一般边色数,得到了当G和H都无孤立边且色数均至少为3时,G×H邻点可区别一般边色数至少为3的结论. The general neighbor-distinguishing edge colorings of weak products of two graphs were discussed and the generM neighbor-distinguishing indices of P2n×Km,C2n×C2m,C2n+1×C2m+1,C2n+1×km were given, with the conclusion that the general neighbor-distinguishing index is at least 3 if G and H has no isolated edges and that the chromatic number is at least 3.
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第1期97-99,103,共4页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金项目(61163037 61163054) 宁夏回族自治区自然科学基金项目(NZ1154) 宁夏大学科学研究基金项目((E):ndzr10-7) 西北师范大学"知识与科技创新工程"项目(NWNU-KJCXGC-03-61)
关键词 弱积图 邻点可区别一般边染色 邻点可区别一般边色数 weak product graph general neighbor-distinguishing edge coloring general neighbor-distinguishingindex
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参考文献6

  • 1ZHANG Zhong-fu,LIU Lin-zhong,WANG Jian-fang. Adjacent strong edge coloring of graphs[J].Appl Math Lett,2002,15(5):623-626.
  • 2GYORI E,HORNAK M,PALMER C,et al.General neighour-distinguishing index of a graph[J].Discrete Mathematics,2008,308(5/6):827-831.
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  • 4李琼,陈祥恩,刘信生.图的一般邻点可区别色指标[J].西北师范大学学报(自然科学版),2007,43(5):18-21. 被引量:4
  • 5陈祥恩,赵飞虎.几类运算图的一般邻点可区别色指标[J].西北师范大学学报(自然科学版),2011,47(1):1-5. 被引量:3
  • 6BONDY J A,MURTY U S R.Graph theory[M].London: Springer,2008:357-364.

二级参考文献9

  • 1ZHANG Zhong-fu, LIU Lin-zhong, WANG Jian-fan. Adjacent strong edge coloring of graphs[J]. ApplMathLett, 2002, 15(5): 623-626.
  • 2GYORI E, HORNAK M, PALMER C, et al. Gcncral ncighour distinguishing index of a graph[J]. Discrete Mathematics , 2008, 308(5-6): 827-831.
  • 3GYORI E, PALMER C. A new type of edgederived vertex coloring [J]. Discrete Mathematics, 2009, 309: 6344-6352.
  • 4BONDY J A, MURTY U S R. Graph Thoery[M]. London: Springer, 2008.
  • 5李琼,陈祥恩,刘信生.图的一般邻点可区别色指标[J].西北师范大学学报(自然科学版),2007,43(5):18-21. 被引量:4
  • 6GYORIE,HORNAK M,PALMER C,et al.General neighbour-distinguishing index of a graph[J].Discrete Mathematics,Special Issue devoted to BBS 2005.
  • 7ZHANG Zhong-fu,LIU Lin-zhong,WANG Jian-fang.Adjacent strong edge coloring of graph[J].Applied Mathematics Letters,2002,15(5):623-626.
  • 8BARIL J L,KHEDDOUCI H,TOBNI O.Adjacent vertex distinguishing edge-coloring of meshes and hypercubes[J].Australasian Journal of Combinatorics,2006,35:89-102.
  • 9BONDY J A,MURTYU S R.Graph Theory with Applications[ M ].New York:Macmillan,Longdon and Elsevier,1976.

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