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关于Ore—(1)型图中的Hamilton圈
引用本文:李明楚,李忠祥.关于Ore—(1)型图中的Hamilton圈[J].北京科技大学学报,1992,14(4):483-489.
作者姓名:李明楚  李忠祥
作者单位:北京科技大学数学力学系 (李明楚),北京科技大学数学力学系(李忠祥)
摘    要:

关 键 词:1-因子  Ore-(1)型图  哈密顿圈

Hamilton Cycles in the Graphs of Ore-Type-(1)
Li Mingchu Li Zhongxiang.Hamilton Cycles in the Graphs of Ore-Type-(1)[J].Journal of University of Science and Technology Beijing,1992,14(4):483-489.
Authors:Li Mingchu Li Zhongxiang
Institution:Li Mingchu Li Zhongxiang Department of Mathematics and Mechanics
Abstract:It was proved by S. Win in 1982 that if the sum of the degree of nonadjacent vertices of a simple graph G of order 2n is at least 2n + 1, then G has a Hamilton cycle and a 1-factor which are edge-disjoint. In this paper, it is proved that, under almost the same condition as Win's theorem, G has at least two Hamilton cycles and a 1-factor which are edge-disjoint.
Keywords:Hamilton cycle  1-factor  Ore-type-(1)
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