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图的几个变换 被引量:3

Some Transformations of graph
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摘要 给出了图的几个扩张变换:图的同型扩张,图的三角形扩张,图的四边形扩张.这些变换在研究最大次数较小的临界图的性质时起着重要的作用,并且在利用已知的阶数较小的临界图结构来确定阶数较高的临界图结构时提供了方便. In this paper, we introduce some transformations of graph: the same-type extension, the triangle extension, the quadrangle extension. These transformations play an important role in studying the properties of chromatic index critical graph with maximum degree small and bring some conveniences when using the known structure of critical graph with small order determine the structure of critical graph with big order.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 2004年第4期26-29,共4页 Journal of Henan Normal University(Natural Science Edition)
关键词 扩张变换 临界图 边着色 extension transformation critical graph edge-coloring
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参考文献4

  • 1Bondy J A,Murty U S R.Graph Theory with Application[M]. London and Basingstoke:Macmillan Press,1976.1-17.
  • 2Bondy J A,Murty U S R.Graph Theory with Application[M]. London and Basingstoke:Macmillan Press,1976.97-103.
  • 3Yap H P.Some Topics in Graph Theory[M].London:Cambridge University press,1986.1-49.
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同被引文献20

  • 1刘广军,刘信生.P_m∨W_n的点可区别全色数[J].郑州大学学报(理学版),2009,41(1):6-9. 被引量:2
  • 2董海燕,孙磊,孙艳丽.关于邻点可区别全染色的几个新结果[J].广西师范大学学报(自然科学版),2005,23(3):41-43. 被引量:8
  • 3苗莲英,逄世友,陈东灵.关于临界图的若干结果[J].曲阜师范大学学报(自然科学版),1997,23(2):50-52. 被引量:2
  • 4张岩,苗连英,秦健,苗正科.关于临界图性质的一个结论[J].徐州师范大学学报(自然科学版),2007,25(3):11-13. 被引量:1
  • 5Bondy J A , Murty U S R. Graph Theory with Application[ M ]. London and Basingstoke:Macmillan Press, 1976:1 -103.
  • 6Vizing V G. Critical graphs with a given chromatic class[J]. Diskret Analiz, 1965(5) :9 -17.
  • 7Yap H P. Some Topics in Graph Theory[ M ]. London: Cambridge University Press, 1986 : 1 - 49.
  • 8Bondy J A, Murty U S R. Graph Theory with Application[M]. Macmillan Press, London and Basingstoke, 1976.
  • 9Yap H P. Some Topics in Graph Theory[M]. Cambridge University press, London, 1986.
  • 10Vizing V G. On an estimate of the chromatic class of a p-graph[J]. Diskret Analis, 1964, 3: 25-30. (Russian).

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