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We study hardness of approximating several minimaximal and maximinimal NP-optimization problems related to the minimum linear ordering problem (MINLOP). MINLOP is to find a minimum weight acyclic tournament in a given arc-weighted complete digraph. MINLOP is APX-hard but its unweighted version is polynomial time solvable. We prove that MIN-MAX-SUBDAG problem, which is a generalization of MINLOP and requires to find a minimum cardinality maximal acyclic subdigraph of a given digraph, is, however,...
We study
hardness of approximating several minimaximal and maximinimal NP-optimization
problems related to the minimum linear ordering problem (MINLOP). MINLOP is
to find a minimum weight acyclic tournament in a given arc-weighted complete
digraph. MINLOP is APX-hard but its unweighted version is polynomial time
solvable. We prove that MIN-MAX-SUBDAG problem, which is a generalization of
MINLOP and requires to find a minimum cardinality maximal acyclic subdigraph
of a given digraph, is, however,...
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