A new FPT algorithm approximates treewidth within a factor of 2 in O(poly(k) 81^k n) time, improving the previous 1728^k bound.
Complexity of finding embeddings in a k -tree
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Optimized 2-Approximation of Treewidth
A new FPT algorithm approximates treewidth within a factor of 2 in O(poly(k) 81^k n) time, improving the previous 1728^k bound.