Directed Tree-Width (2001)

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Link: https://www.sciencedirect.com/science/article/pii/S0095895600920318

Abstract: We generalize the concept of tree-width to directed graphs and prove that every directed graph with no “haven” of large order has small tree-width. Conversely, a digraph with a large haven has large tree-width. We also show that the Hamilton cycle problem and other NP-hard problems can be solved in polynomial time when restricted to digraphs of bounded tree-width.

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