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We show that testing if an undirected graph contains a bridgeless spanning cactus is NP-hard. As a consequence, the minimum spanning cactus problem (MSCP) on an undirected graph with 0–1 edge weights is NP-hard. For any subgraph S of Kn, we give polynomially testable necessary and sufficient conditions for S to be extendable to a cactus in Kn and the weighted version of this problem is shown to be...
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