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- W4300841694 abstract "We present a factor $14D^2$ approximation algorithm for the minimum linear arrangement problem on series-parallel graphs, where $D$ is the maximum degree in the graph. Given a suitable decomposition of the graph, our algorithm runs in time $O(|E|)$ and is very easy to implement. Its divide-and-conquer approach allows for an effective parallelization. Note that a suitable decomposition can also be computed in time $O(|E|log{|E|})$ (or even $O(log{|E|}log^*{|E|})$ on an EREW PRAM using $O(|E|)$ processors). For the proof of the approximation ratio, we use a sophisticated charging method that uses techniques similar to amortized analysis in advanced data structures. On general graphs, the minimum linear arrangement problem is known to be NP-hard. To the best of our knowledge, the minimum linear arrangement problem on series-parallel graphs has not been studied before." @default.
- W4300841694 created "2022-10-04" @default.
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- W4300841694 date "2014-10-16" @default.
- W4300841694 modified "2023-10-15" @default.
- W4300841694 title "Minimum Linear Arrangement of Series-Parallel Graphs" @default.
- W4300841694 doi "https://doi.org/10.48550/arxiv.1410.4395" @default.
- W4300841694 hasPublicationYear "2014" @default.
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