Geodesic
On Property B of Families of Sets
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 429-435

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A family of sets is said to have property B if there exists a set S such that S∩F≠ φ and SF for all F . S is called a B-set for . Let n≥2 and N≥2n-1. Let V = { 1, 2,≠, N} and let = {G:G⊂ V, |G| = rc}. Erdös [3] defined mN(n) to be the size of a smallest subfamily of which does not have property B and proved the following results: 
Abbott, H. L.; Liu, A. C. On Property B of Families of Sets. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 429-435. doi: 10.4153/CMB-1980-063-6
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     title = {On {Property} {B} of {Families} of {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {429--435},
     year = {1980},
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     number = {4},
     doi = {10.4153/CMB-1980-063-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-063-6/}
}
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