On the complexity of Slater's problems

Olivier Hudry

European Journal of Operational Research, 2010, vol. 203, issue 1, 216-221

Abstract: Given 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.

Keywords: Complexity; Tournament; solutions; Slater; solution; Majority; tournament (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:203:y:2010:i:1:p:216-221

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