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- W2208485005 abstract "Abstract Minimum k-Section denotes the NP-hard problem to partition the vertex set of a graph into k sets of size as equal as possible while minimizing the cut width, which is the number of edges between these sets. When k is an input parameter and n denotes the number of vertices, it is NP-hard to approximate the width of a minimum k-section within a factor of n c for any c 1 , even when restricted to trees with constant diameter. Here, we show that every tree T allows a k-section of width at most ( k − 1 ) ( 2 + 16 n / diam ( T ) ) Δ ( T ) . This implies a polynomial time constant factor approximation for the Minimum k-Section Problem when restricted to trees with linear diameter and constant maximum degree." @default.
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- W2208485005 date "2015-12-01" @default.
- W2208485005 modified "2023-09-24" @default.
- W2208485005 title "Approximating Minimum k -Section in Trees with Linear Diameter" @default.
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- W2208485005 doi "https://doi.org/10.1016/j.endm.2015.07.013" @default.
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