Geodesic
Some Remarks on a Combinatorial Theorem of Erdös and Rado
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 155-160

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

P. Erdös and R. Rado [1] proved that to each pair of positive integers n and k, with k ≥ 3, there corresponds a least positive integer φ(n, k) such that if is a family of more than φ(n, k) sets, each set with n elements, then some k of the sets have pair-wise the same intersection. 
Abbott, H. L. Some Remarks on a Combinatorial Theorem of Erdös and Rado. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 155-160. doi: 10.4153/CMB-1966-019-1
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[1] 1. Erdös, P. and Rado, R., Intersection theorems for systems of sets, Jour. Lon. Math. Soc, 35 (1960) pp. 85-90. Google Scholar

[2] 2. Erdös, P., On a problem in elementary number theory and a combinatorial problem. Math. of Comp., 18, No. 88, (1964) pp. 644-646. Google Scholar

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