Displaying similar documents to “More on the tournament equilibrium set”

On the hardness of approximating some NP-optimization problems related to minimum linear ordering problem

Sounaka Mishra, Kripasindhu Sikdar (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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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,...

C 1 -minimal subsets of the circle

Dusa McDuff (1981)

Annales de l'institut Fourier

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Necessary conditions are found for a Cantor subset of the circle to be minimal for some C 1 -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.

Covers of digraphs

Willibald Dörfler, Frank Harary, Günther Malle (1980)

Mathematica Slovaca

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On the Hardness of Approximating Some NP-optimization Problems Related to Minimum Linear Ordering Problem

Sounaka Mishra, Kripasindhu Sikdar (2010)

RAIRO - Theoretical Informatics and Applications

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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,...