A bounded search tree algorithm for parameterized face cover

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چکیده

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A bounded search tree algorithm for parameterized face cover

The parameterized complexity of the FACE COVER problem is considered. The input to this problem is a plane graph G with n vertices. The question asked is whether, for a given parameter value k, there exists a set of k or fewer faces whose boundaries collectively cover (contain) every vertex in G. Early attempts achieved run times of O∗(12k) or worse, by reducing the problem into a special form ...

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The parameterized complexity of the face cover problem is considered. The input to this problem is a plane graph, G, of order n. The question asked is whether, for any fixed k, there exists a set of k or fewer vertices whose boundaries collectively cover (contain) every vertex in G. The fastest previously-published face cover algorithm is achieved with the bounded search tree technique, in whic...

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ژورنال

عنوان ژورنال: Journal of Discrete Algorithms

سال: 2008

ISSN: 1570-8667

DOI: 10.1016/j.jda.2008.07.004