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- W2912205465 abstract "We consider a special variant of tree-decompositions, calleddomino tree-decompositions, and the related notion ofdomino treewidth. In a domino tree-decomposition, each vertex of the graph belongs to at most two nodes of the tree. We prove that for everyk, d, there exists a constantck, dsuch that a graph with treewidth at mostkand maximum degree at mostdhas domino treewidth at mostck, d. The domino treewidth of a tree can be computed inO(n2 log n) time. There exist polynomial time algorithms that—for fixedk—decide whether a given graphGhas domino treewidth at mostk. Ifkis not fixed, this problem is NP-complete. The domino treewidth problem is hard for the complexity classesW[t] for allt ∈ N, and hence the problem for fixedkis unlikely to be solvable inO(nc) time, wherecis a constant, not depending onk." @default.
- W2912205465 created "2019-02-21" @default.
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- W2912205465 date "1997-07-01" @default.
- W2912205465 modified "2023-09-25" @default.
- W2912205465 title "Domino Treewidth" @default.
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- W2912205465 doi "https://doi.org/10.1006/jagm.1996.0854" @default.
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