How to make a digraph strongly connected |
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Authors: | András Frank |
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Institution: | (1) Research Institute for Telecommunication, Gábor á. u. 65, H-1026 Budapest, Hungary;(2) JATE Bolyai Institute, H-6720 Szeged, Hungary |
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Abstract: | Given a directed graphG, acovering is a subsetB of edges which meets all directed cuts ofG. Equivalently, the contraction of the elements ofB makesG strongly connected. AnO(n
5) primal-dual algorithm is presented for finding a minimum weight covering of an edge-weighted digraph. The algorithm also
provides a constructive proof for a min-max theorem due to Lucchesi and Younger and for its weighted version. |
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Keywords: | 05 C 20 90 C 10 05 C 40 68 C 25 68 E 10 |
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