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Directed branch-width: A directed analogue of tree-width
[article]
2023
arXiv
pre-print
We introduce a new digraph width measure called directed branch-width. To do this, we generalize a characterization of graph classes of bounded tree-width in terms of their line graphs to digraphs. Although we prove that underlying branch-width cannot be bounded in terms of our new measure, we show that directed branch-width is a natural generalization of its undirected counterpart and indeed the two invariants can be related via the operation of identifying pairs of sources or pairs of sinks.
arXiv:2009.08903v2
fatcat:3buijtic7fc2jkexcw7jptbqnu