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The Cartographer
Optimized 2-Approximation of Treewidth
November 25, 2024 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Mahdi Belbasi, Martin FΓΌrer, Medha Kumar
arXiv ID
2411.16918
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
This paper presents a linear FPT algorithm to find a tree decomposition with a 2-approximation of the treewidth with a significantly smaller exponential dependence on the treewidth. The algorithm runs in time $O(\text{poly}(k) 81^k n)$, compared to Korhonen's running time of $O(\text{poly}(k) 1782^k n)$ = $O(2^{10.8k} n)$.
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