On Sets of Consistent Arcs in a Tournament
نویسنده
چکیده
u. and u . is joined by one of the (oriented) arcs u .u . or u.u . . 1 J 13 J 1 The arcs in some set S are said to be consistent if it is possible to relabel the nodes of the tournament in such a way that if the arc u.u . is in S then i > j . (This is easily seen to be equiva1 3 lent to requiring that the tournament contains no oriented cycles composed entirely of arcs of S . ) Sets of consistent arcs are of interest, for example, when the tournament represents the outcome of a paired-comparison experiment [1] . The object in this note is to obtain bounds for f(n), the greatest integer k such that every tournament T contains a set of k consisten , n arcs .
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t-Pancyclic Arcs in Tournaments
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