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- W2570653565 abstract "We present a polynomial time algorithm that for any graph G and integer k ≥ 0, either finds a spanning tree with at least k internal vertices, or outputs a new graph G R 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 G R 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 result is based on an innovative application of a classical min-max result about hypertrees in hypergraphs which states that “a hypergraph H contains a hypertree if and only if H is partition connected.”" @default.
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- W2570653565 date "2009-01-01" @default.
- W2570653565 modified "2023-10-18" @default.
- W2570653565 title "A Linear Vertex Kernel for Maximum Internal Spanning Tree" @default.
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- W2570653565 doi "https://doi.org/10.1007/978-3-642-10631-6_29" @default.
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