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research
Orientations and detachments of graphs with prescribed degrees and connectivity
Authors
S. Iwata
Tibor Jordán
Publication date
1 January 2014
Publisher
'Elsevier BV'
Doi
Cite
Abstract
We give a necessary and sufficient condition for a graph to have an orientation that has k edge-disjoint arborescences rooted at a designated vertex s subject to lower and upper bounds on the in-degree at each vertex. The result is used to derive a characterization of graphs having a detachment that contains k edge-disjoint spanning trees. Efficient algorithms for finding those orientations and detachments are also described. In particular, the paper provides an algorithm for finding a connected (loopless) detachment in O(nm) time, improving on the previous best running time bound, where n and m denote the numbers of vertices and edges, respectively. © 2014 Elsevier B.V. All rights reserved
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oai:real.mtak.hu:20967
Last time updated on 03/08/2016
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oai:edit.elte.hu:10831/66736
Last time updated on 28/08/2022