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A 16-vertex tournament for which Banks set and Slater set are disjoint. (English) Zbl 0895.05027

A Banks winner of a tournament \(T\) is the node of largest score in any maximal transitive subtournament of \(T\). A Slater winner of \(T\) is the node of largest score in any transitive tournament obtained from \(T\) by reversing the smallest possible number of arcs. The authors define a tournament with 16 nodes for which the Banks winners and the Slater winners are disjoint.

MSC:

05C20 Directed graphs (digraphs), tournaments
91B10 Group preferences

References:

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