节点文献
3-连通3-正则图生成树外的可去边(英文)
Removable Edges Outside a Spanning Tree of a 3-Connected 3-Regular Graph
【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。
【Abstract】 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.
【关键词】 3连通3正则图;
可去边;
边点割断片;
【Key words】 3-Connccted 3-regular graph; Removable edge; Edge-vertex-cut fragment;
【Key words】 3-Connccted 3-regular graph; Removable edge; Edge-vertex-cut fragment;
【基金】 Research supported by National Science Foundation of China
- 【文献出处】 数学研究 ,Journal of Mathematical Study , 编辑部邮箱 ,2003年03期
- 【分类号】O157.5
- 【被引频次】5
- 【下载频次】53