## On the trace of finite sets.(English)Zbl 0505.05001

### MSC:

 05A05 Permutations, words, matrices 05C35 Extremal problems in graph theory 05C65 Hypergraphs

### Keywords:

Turan number; family of subsets

### Citations:

Zbl 0439.05001; Zbl 0211.569; Zbl 0248.05005
Full Text:

### References:

 [1] Bondy, J.A., Induced subsets, J. combin. theory ser. B, 12, 201-202, (1972) · Zbl 0211.56901 [2] Daykin, D.E., A simple proof of the Kruskal-katona theorem, J. combin. theory ser. A, 17, 252-253, (1974) · Zbl 0287.05004 [3] Katona, G.O.H., Optimization for order ideals under a weight assignment, (), 257-258 · Zbl 0412.05003 [4] Katona, Gy., A theorem of finite sets, (), 187-207, Tihany, Hungary [5] Kruskal, J.B., The number of simplices in a complex, (), 251-278 [6] Lovász, L., Combinatorial problems and exercises, (1979), North-Holland Amsterdam, (Problem $$1310$$ · Zbl 0439.05001 [7] {\scL. Lovász}, Personal communication, 1975. [8] Sauer, N., On the density of families of sets, J. combin. theory ser. A, 13, 145-147, (1972) · Zbl 0248.05005 [9] Turán, P., Eine extremalaufgabe aus der graphentheorie, Mat. lapok, 48, 436-452, (1941), (in Hungarian) · JFM 67.0732.03
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