Dominating Induced Matchings

Dominating Induced Matchings
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主导诱导匹配

DOI:
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发表时间:
2009
期刊:
Graph Theory, Computational Intelligence and Thought
影响因子:
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通讯作者:
V. Lozin
V. Lozin
中科院分区:
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文献类型:
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作者:
D. Cardoso;V. Lozin

文献摘要

被引文献

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我们研究的问题,确定是否有一个诱导匹配,支配图的每一边,这也被称为有效的边支配。这个问题在一般情况下是NP-完全的,在某些限制域中也是NP-完全的,例如二部图或正则图。在本文中,我们确定了一个图形参数的问题的复杂性是明智的,并产生负(棘手的)和积极的(在多项式时间内可解)类型的结果。
We study the problem of determining whether or not a graph G has an induced matching that dominates every edge of the graph, which is also known as efficient edge domination . This problem is known to be NP-complete in general as well as in some restricted domains, such as bipartite graphs or regular graphs. In this paper, we identify a graph parameter to which the complexity of the problem is sensible and produce results of both negative (intractable) and positive (solvable in polynomial time) type.