On constrained minimum vertex covers of bipartite graphs: Improved algorithms
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Springer-Verlag Berlin Heidelberg 2001. The constrained minimum vertex cover problem on bipartite graphs arises from the extensively studied fault coverage problem for reconfigurable arrays. In this paper, we develop a new algorithm for the problem, in which classical results in matching theory and recently developed techniques in parameterized computation are nicely combined and extended. The algorithm is practically efficient with running time bounded by O(1.26k + kn), where k is the size of the constrained minimum vertex cover in the input graph. The algorithm is a significant improvement over the previous algorithms for the problem.
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Graph-Theoretic Concepts in Computer Science, 27th International Workshop, WG 2001, Boltenhagen, Germany, June 14-16, 2001, Proceedings