The set cover problem is a classical question in combinatorics, computer science, operations research, and complexity theory. It is one of Karp's 21 NP-complete problems shown to be NP-complete in 1972. Given a set of elements {1, 2, …, n} (called the universe) and a collection S of m sets whose union equals the universe, the set cover problem is to identify the smallest sub-collection of S whose u… WebThe clique cover problem in computational complexity theory is the algorithmic problem of finding a minimum clique cover, or (rephrased as a decision problem) finding a clique cover whose number of cliques is below a given threshold. Finding a minimum clique cover is NP-hard, and its decision version is NP-complete.
List of NP-complete problems - Wikipedia
WebSet packing is used here to represent several problems on sets, all of which are NP-complete: • Must every element appear in exactly one selected subset?–Intheexact cover problem, we seek some collection of subsets such that each element is covered exactly once. The airplane scheduling problem above has the flavor of exact WebThe problem Hamiltonian of the adiabatic quantum algorithm for the maximum-weight independent set problem (MIS) that is based on the reduction to the Ising problem (as described in [7]) has flexible parameters. We show… gilles buscot
Set cover problem - Wikipedia
WebKarp's 21 NP-complete problems; Authority control Q1192100. Reasonator; Scholia; PetScan; statistics; WikiMap; Locator tool; KML file; Search depicted; en:Set cover … Web31 Dec 2013 · Just note that a SINGLE OVERLAP RESTRICTED X3C instance built using the above reduction can contain two valid and distinct exact covers of the original … Web2 Apr 2024 · NP Completeness 9 - Set Cover Problem and Outline of Proof Technique Professor Painter 1.69K subscribers Subscribe 245 15K views 1 year ago NP … gilles chenot facebook