期刊文献+

3-方体的一个性质

A property of 3-cube
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摘要 在相关文献中,引入了α-子图的概念来探索超欧拉图的极大欧拉生成子图的边数,并且证明了2-方体在加入一条新边的情况下是一个3/5-子图.研究了3-方体,证明了3-方体在加入一条新边的情况下是一个(9/13)-子图. In some references, the author has introduced a new concept of α- subgraph to explore the number of edges of its maximum spanning eulerian subgraph of a supereulerian graph. The author also proved a 2 -cube added with a new edge is a 3/5- subgraph. In this paper,3 - cube has been studied and a property of it that 3 -cube added with a new edge is a 9/13 -subgraph has been found.
作者 王斌
出处 《重庆工商大学学报(自然科学版)》 2008年第3期229-232,共4页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 重庆市自然科学基金(CSCT.2007BA2004) 重庆市教委项目资助(KJ0707010)
关键词 超欧拉图 欧拉生成子图 α-子图 3-方体 supereulerian graphs maximum spanning eulerian subgraph α - subgraph 3 cube
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参考文献4

  • 1BONDY J A,MURTY U S R.Graph Theory with Applications[M].North -Holland,New York,1976
  • 2LID X,LID Y,MAO J Z.Maximum number of edges in spanning eulerian subgraph[J].Discrete Mathematics,2004,274(1):299-302
  • 3李登信.寻找欧拉生成子图最大边数的一个方法[J].重庆工商大学学报(自然科学版),2007,24(3):215-217. 被引量:4
  • 4CATLIN P A.A reduction method to find spanning eulerian subgraphs[J].J.Graph Theory,1988,12 (1):29-45

二级参考文献3

  • 1CHEN Z H,LAI H J.Reduction technique for supereulerian graphs and related topics-an update[A],in Ku Tung-Hsin(Ed.),combinatorics and Graph Theory '95[C].World Scientific,Singapore,London,1995
  • 2LI D X,LI D Y,MAO J Z.On maximum number of edges in a spnning eulerian subgraph[J].Discrete Mathematics,2004,274:299-302
  • 3CATLIN P A.Supereulerian graphs:a survey[J].J.Graph Theory,1992(16):177-196

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