Abstract

A whist tournament is said to have the Three Person Property if the intersection of any two tables in the tournament is at most two. Specific whist tournaments possessing this property are presented for v=8, v=4 k, 4≤ k≤9 and for v=4 k+1, k∈{2,3,4,5,6,7,8,9,10,12,13,15,20,22,24,25,29,30}. Several infinite classes of whist tournaments possessing this property are exhibited along with explicit formulas for the generation of two infinite classes of Mendelsohn designs.

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