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Paper detail

Directed Minors III. Directed Linked Decompositions

Thomas proved that every undirected graph admits a linked tree decomposition of width equal to its treewidth. In this paper, we generalize Thomas's theorem to digraphs. We prove that every digraph G admits a linked directed path decomposition and a linked DAG decomposition of width equal to its directed pathwidth and DAG-width respectively.

preprint2014arXivOpen access
Shiva Kintali
math.CO
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Shiva Kintali

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