A Parameterized Measure-and-Conquer Analysis for Finding a k-Leaf Spanning Tree in an Undirected Graph

Abstract : The problem of finding a spanning tree in an undirected graph with a maximum number of leaves is known to be NP-hard. We present an algorithm which finds a spanning tree with at least k leaves in time O*(3.4575k) which improves the currently best algorithm. The estimation of the running time is done by using a non-standard measure. The present paper is one of the still few examples that employ the Measure & Conquer paradigm of algorithm analysis in the area of Parameterized Algorithmics.
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Discrete Mathematics and Theoretical Computer Science, DMTCS, 2014, Vol. 16 no. 1 (in progress) (1), pp.179--200
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Daniel Binkele-Raible, Henning Fernau. A Parameterized Measure-and-Conquer Analysis for Finding a k-Leaf Spanning Tree in an Undirected Graph. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2014, Vol. 16 no. 1 (in progress) (1), pp.179--200. 〈hal-01179218〉

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