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- W2107448922 abstract "We study the NP-hard problem of finding non-crossing thick minimum-link rectilinear paths which are homotopic to a set of input paths in an environment with rectangular obstacles. We present a 2-approximation that runs in $O(n^3 + k_{in} log n + k_{out})$ time, where n is the total number of input paths and obstacles and kin and kout are the total complexities of the input and output paths. Our algorithm not only approximates the minimum number of links, but also simultaneously minimizes the total length of the paths. We also show that an approximation factor of 2 is optimal when using smallest paths as lower bound." @default.
- W2107448922 created "2016-06-24" @default.
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- W2107448922 date "2010-01-01" @default.
- W2107448922 modified "2023-09-24" @default.
- W2107448922 title "Homotopic Rectilinear Routing with Few Links and Thick Edges" @default.
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- W2107448922 doi "https://doi.org/10.1007/978-3-642-12200-2_41" @default.
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