Geodesic
On A Problem of Purdy Related to Sperner Systems
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 135-136

Voir la notice de l'article provenant de la source Cambridge University Press

Purdy asked whether the following conjecture is trueConjecture. Let E be a set of 2n elements. If S={Sl, S2, ..., St} is a Sperner system of E, i.e. for i≠j, i, j, =1, 2, ..., t; and if (1) then The proof of the conjecture will be obtained using the following theorem of Katona (Acta Math. 15 (1964), 329-337): 
Schonheim, J. On A Problem of Purdy Related to Sperner Systems. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 135-136. doi: 10.4153/CMB-1974-029-1
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