The Average Number of Stable _ l / latchings
نویسنده
چکیده
The probable behavior of am iuslance of size 1). of the stable marriage problem, chosen uniformly at rmdonl, is studied. Tl~e expected number of stable matchings is shown to be asymptotic t20 e-l77 In 1) for n m. The total rank of wonieu by nleu in the male optimal (pessimnl) matching is proven to be close to II In 11 (resp. T?.‘/ In j?), with high probability. 1980 Mat1~ema.tic.s Subject Classification (1985 Revision) Primary Numbers: 05A05, 05Ci0, 68C25 Secondary Numbers: 6OCO5, 6OFO5
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