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Article type: Research Article
Authors: Ausiello, Giorgioa | d’Atri, Alessandrob | Protasi, Marcoc
Affiliations: [a] National Researche Centre - Rome | [b] University of Calabria | [c] University of L’Aquila
Abstract: The ordering among classes of isomorphic NP-complete optimization problems is studied from a lattice theoretic point of view. It is shown that the set of such classes has the structure of an upper semilattice; while a top element can found be it is proved that no bottom element can exist.
Keywords: Computational complexity, lattice, NP-complete problems, optimization problems
DOI: 10.3233/FI-1981-4105
Journal: Fundamenta Informaticae, vol. 4, no. 1, pp. 83-94, 1981
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