摘要
利用收缩技术,证明了1)阶为n=2k且最小半度至少是南的有向图D是强哈密尔顿连通的,除非D属于某些图类;2)2强连通且包含n个顶点、(n-1)(n-2)+4条弧的有向图是强哈密尔顿连通的,除非D属于某些图类.
Using the contraction technique, we prove that i) a digraph D of order n = 2k with minimum semi-degree at least k is strongly Hamiltonian-connected unless D is included in some exceptional classes of digraphs, and that ii) a 2-strong digraph D with n vertices and (n-1)(n-2)+4 arcs is strongly Hamiltonianconnected unless D belongs to some exceptional classes of digraphs.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第14期178-182,共5页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2007011002)
太原科技大学青年基金(20083018)
关键词
收缩
强略密尔顿连通
最小半度
contraction
strongly Hamiltonian-connected
minimum semi-degree