On the complexity of Slater's problems
AbstractGiven a tournament T, Slater's problem consists in determining a linear order (i.e. a complete directed graph without directed cycles) at minimum distance from T, the distance between T and a linear order O being the number of directed edges with different orientations in T and in O. This paper studies the complexity of this problem and of several variants of it: computing a Slater order, computing a Slater winner, checking that a given vertex is a Slater winner and so on.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 203 (2010)
Issue (Month): 1 (May)
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Complexity Tournament solutions Slater solution Majority tournament;
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Documents de travail du Centre d'Economie de la Sorbonne
10057, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
- Olivier Hudry & Bernard Monjardet, 2010. "Consensus theories: an oriented survey," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00504974, HAL.
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