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A Linear Vertex Kernel for Maximum Internal Spanning Tree
[chapter]

2009
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Lecture Notes in Computer Science
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We present a polynomial time algorithm that for any graph G and integer k ≥ 0, either nds a spanning tree with at least k internal vertices, or outputs a new graph GR on at most 3k vertices and an integer k such that G has a spanning tree with at least k internal vertices if and only if GR has a spanning tree with at least k internal vertices. In other words, we show that the Maximum Internal Spanning Tree problem parameterized by the number of internal vertices k, has a 3k-vertex kernel. Our

doi:10.1007/978-3-642-10631-6_29
fatcat:ijubxsk7hfabdftqugr5orgdsy