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简单图中圈的长度
Cycle Lengths of Simple Graphs
【摘要】 n阶简单图G,满足e∈E(G),e=uv,使得d(u)+d(v)≥n,在这篇文章里我们证明了图G的周长可以用图G的某些参数表示出来;并且当图G不是完全二部图时,证明了图G包含了长度为3到周长的所有圈.
【Abstract】 Let G be a simple graph of order n satisfying for every edge uv of G.We show that the circumference of G can be expressed in terms of a certain graph parameter.Moreover,we show that G contains cycles of every length between 3 and the circumference,unless G is complete bipartite.
【关键词】 度的和;
周长;
泛圈图;
闭包;
Hamilton图;
【Key words】 degree sum; circumference; pancyclic graph; closure; cycle hamiltonian graph;
【Key words】 degree sum; circumference; pancyclic graph; closure; cycle hamiltonian graph;
【基金】 重庆教委科研基金项目(KJ050807)
- 【文献出处】 红河学院学报 ,Journal of Honghe University , 编辑部邮箱 ,2007年02期
- 【分类号】O157.5
- 【下载频次】27