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How to make a digraph strongly connected
Authors:András Frank
Institution:(1) Research Institute for Telecommunication, Gábor á. u. 65, H-1026 Budapest, Hungary;(2) JATE Bolyai Institute, H-6720 Szeged, Hungary
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.
Keywords:05 C 20  90 C 10  05 C 40  68 C 25  68 E 10
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