Geodesic
On a Combinatorial Problem of Erdös and Hajnal
Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 177-181

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In this note we consider some problems related to the following question:What is the smallest integer m(n) for which there exists a family Fn of sets A1, A2,..., Am(n)with the following properties, (i) each member of Fn has nelements and (ii) if S is a set which meets each member of Fn,then S contains at least one member of Fn? Erdős and Hajnal [1] observed that and that m(l) = 1, m(2) = 3, m(3) = 7. 
Abbott, H. L.; Moser, L. On a Combinatorial Problem of Erdös and Hajnal. Canadian mathematical bulletin, Tome 7 (1964) no. 2, pp. 177-181. doi: 10.4153/CMB-1964-016-9
@article{10_4153_CMB_1964_016_9,
     author = {Abbott, H. L. and Moser, L.},
     title = {On a {Combinatorial} {Problem} of {Erd\"os} and {Hajnal}},
     journal = {Canadian mathematical bulletin},
     pages = {177--181},
     year = {1964},
     volume = {7},
     number = {2},
     doi = {10.4153/CMB-1964-016-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-016-9/}
}
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