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关于图论中完美对集的一个充分条件

A Sufficient Condition for the Perfect Matching on Graph Theory
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摘要 在Tutte关于完美对集存在的充要条件基础上,针对具有偶数个(υ个)顶点,且顶点的最小度数δ≥υ/2-1的简单图G,通过构造的连接方法,论证了图G中有完美对集的充分条件。 On the theoretical basis of the necessary and sufficient conditions for the perfect matching derived by Tutte, a sufficient condition is further derived as follows in this paper, when the number of vertex in simple graph G is even number, and the minimum degree number of vertex is δ≥u/2 - 1 in simple graph G. It is testified via the forming connection method that there is a sufficient condition of perfect matching in graph G, there is a perfect matching.
作者 王骋
出处 《西安理工大学学报》 CAS 2005年第3期321-323,共3页 Journal of Xi'an University of Technology
关键词 简单图 完美对集 通路 充分条件 simple graph perfect matching path sufficient condition
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参考文献6

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