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On approximation problems related to the independent set and vertex cover problems. (English) Zbl 0554.68026
Some open questions concerning the complexity of approximation algorithms for the Maximum Independent Set and Minimum Vertex Cover Problems are studied. It is shown that those questions are at least as hard as a sample of other open questions concerning approximating NP-hard problems, including Graph Coloring, Set Covering and Dominating Set Problems.

MSC:
68Q25 Analysis of algorithms and problem complexity
68R10 Graph theory (including graph drawing) in computer science
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