DNA Computing of Bipartite Graphs for Maximum Matching

被引:0
作者
Shiying Wang
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来源
Journal of Mathematical Chemistry | 2002年 / 31卷
关键词
maximum matching; maximal matching; augmenting path; DNA computing;
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摘要
Let M be a matching in a graph G. It is defined that an M-augmenting path must obtain one element of M. In this paper, it is obtained that a matching M in a graph G is a maximum matching if and only if G contains no M-augmenting path and M is a maximal matching in G. It supplies a theoretical basis to DNA computing. A detailed discussion is given of DNA algorithms for the solutions of the maximal matching problem and maximum matching one in a bipartite graph.
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页码:271 / 279
页数:8
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