Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
418629 | Discrete Applied Mathematics | 2010 | 6 Pages |
Abstract
Kelly-width is a parameter of digraphs recently proposed by Hunter and Kreutzer as a directed analogue of treewidth. We give an alternative characterization of digraphs of bounded Kelly-width in support of this analogy, and the first polynomial-time algorithm recognizing digraphs of Kelly-width 2. For an input digraph G=(V,A)G=(V,A) the algorithm outputs a vertex ordering and a digraph H=(V,B)H=(V,B) with A⊆BA⊆B witnessing either that GG has Kelly-width at most 2 or that GG has Kelly-width at least 3, in time linear in HH.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Daniel Meister, Jan Arne Telle, Martin Vatshelle,