Stackelberg Bipartite Vertex Cover and the Preflow Algorithm

Abstract. Stackelberg pricing of vertex covers in a bipartite graph, with the priceable nodes on one side, reduces to a sequence of maximum flow problems. This was shown by Briest, Hoefer & Krysta [3], leading to an O(n6 ) algorithm. Here n is the number of nodes of the graph. We show how the use of the preflow algorithm gives an O(n4 ) algorithm.

By: Mourad Baïou, Francisco Barahona

Published in: Algorithmica , volume 74, (no 3), pages 1174-1183; 10.1007/s00453-015-9993-x in 2016

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