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The maximal number of edges in a homogeneous hypergraph containing no prohibited subgraphs

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Literature cited

  1. W. Mantel, Vraagstuk XXVIII, Wiskundige Opgevan met de Oplossingen,10, No. 1, 60–61 (1907).

    Google Scholar 

  2. P. Turan, “Egy grafelmeleti szelsöerekfeladatrol,” Mat. Fiz. Lapok,48, No. 3, 436–453 (1941).

    Google Scholar 

  3. P. Erdös, “On the combinatorial problems which I would most like to see solved,” Combinatorica,1, No. 1, 25–42 (1981).

    Google Scholar 

  4. B. Bollobas, “Three-graphs without two triples whose symmetric difference is contained in a third,” Discrete Math.,8, No. 1, 21–24 (1974).

    Google Scholar 

  5. P. Erdös and M. Simonovits, “Compactness results in extremal graph theory,” Combinatorica,2, No. 3, 275–288 (1982).

    Google Scholar 

  6. M. Simonovits, Extremal Graph Theory. Selected Topics in Graph Theory, Academic Press, New York (1983), pp. 161–200.

    Google Scholar 

  7. W. G. Brown and M. Simonovits, “Digraph extremal problems, hypergraph extremal problems, and the densities of graph structures,” Discrete Math.,48, Nos. 2–3, 147–162 (1984).

    Google Scholar 

  8. T. S. Motzkin and E. G. Straus, “Maxima for graphs and a new proof of a theorem of Turan,” Can. J. Math.,17, No. 4, 533–540 (1965).

    Google Scholar 

  9. P. Erdos and M. Simonovits, “A limit theorem in graph theory,” Stud. Math. Hung.,1, Nos. 1–2, 51–57 (1966).

    Google Scholar 

  10. P. Cameron and J. van Lindt, The Theory of Graphs, Coding Theory, and Block-Schemes [Russian translation], Nauka, Moscow (1982).

    Google Scholar 

  11. K. A. Rybnikova (ed.), Combinatorial Analysis. Problems and Exercises [in Russian], Nauka, Moscow (1982).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 41, No. 3, pp. 433–455, March, 1987.

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Sidorenko, A.F. The maximal number of edges in a homogeneous hypergraph containing no prohibited subgraphs. Mathematical Notes of the Academy of Sciences of the USSR 41, 247–259 (1987). https://doi.org/10.1007/BF01158259

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