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3-连通3-正则图生成树外的可去边(英文) 被引量:1

Removable Edges Outside a Spanning Tree of a 3-Connected 3-Regular Graph
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摘要 G是3-连通图,e是G中的一条边。若G-e是3-连通图的一个剖分,则称e是3-连通图的可去边。否则,e是G中不可去边。本文给出3-连通3-正则图中生成树外可去边的分布情况及数目。 Let G be a 3-connected graph and e an cdge of G. If, by deleting e from G the resultant graph G -e is a subdivision of a 3-connected graph, then e is called a removable edge of G. In this paper we study the problem on at least how many removable edges there are outside a spanning tree of a 3-connccted 3-regular graph.
出处 《数学研究》 CSCD 2003年第3期223-229,共7页 Journal of Mathematical Study
基金 Research supported by National Science Foundation of China
关键词 3连通3正则图 可去边 边点割断片 分布 3-Connccted 3-regular graph Removable edge Edge-vertex-cut fragment
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  • 1Bondy J A, Murty U S R. Graph Theory with Applications, North-Holland, Amsterdam 1976. 被引量:1
  • 2Holton D A, Jackson B, Saito A, Wormald N C. Removable edges in 3-connected graphs. J. Graph Theory 1990, 14(4) .465-473. 被引量:1
  • 3Su J J. The number of removable edges in 3-connected graphs. J. Combin. Theory, Ser. B, 1999, 75(1):74-87. 被引量:1
  • 4Su J J. Removable edges in cycles of 3-connected graphs (Chinese). Chinese Science Bulletin 1999, 44(9) :921-926. 被引量:1
  • 5Fouquent J L. Thuiller H. k-Minimal 3-connected cubic graphs. Ars Combin. 1988, 26(2) : 149- 190. 被引量:1
  • 6McCuaig W. Edgc reduction in cyclically k-connected cubic graphs. J. Combin. Theory, Ser B, 1992,56,15-44. 被引量:1
  • 7Ou J, Su J. The removable edges in a spanning tree of a 3-connected graph (CHinese). J. Guangxi Normal University, 2001, 2:80-84. 被引量:1
  • 8Tuttc W T. A thcorey of 3-connectcd graphs. Indag Math. 1961, 23:441-466. 被引量:1
  • 9Su J. The properties of removable edges in 3-connected graphs. J. Guangxi Normal University 1996, 1 :12-17. 被引量:1
  • 10Ando K, Enomoto H, Saito A. Contractible edges in 3-connocted graphs, J. Combin. Theory, Ser B,1987, 42:8?-93. 被引量:1

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