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Decomposition of large uniform hypergraphs

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Abstract

We determine a minimum cardinality family ℱ n, k (resp. ℋ n, k ) ofn-uniform,k-edge hypergraphs satisfying the following property: all, except for finitely many,n-uniform hypergraphs satisfying the divisibility condition have an ℱ n, k -decomposition (resp. vertex ℋ n, k -decomposition).

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References

  1. Z. Baranyai (1975) On the factorization of the complete uniform hypergraphs, inInfinite and Einite Sets, Coll. Math. Soc. J. Bolyai,10 (eds. A. Hajnal, R. Rado and V. T. Sós), North Holland, Amsterdam.

    Google Scholar 

  2. C. Berge (1979)Graphs and Hypergraphs, North Holland, Amsterdam.

    Google Scholar 

  3. J. C. Bermond and D. Sotteau (1975) Graph decompositions and G-designs, Proc. Fifth British Combinatorial Conf., Aberdeen, 1975,Utilitas Math. Congressus No. XV, pp. 53–72.

  4. J. C. Bermond (1978) Hamiltonian decompositions of graphs, directed graphs and hypergraphs,Ann. Discrete Math. 3, 21–28.

    Google Scholar 

  5. F. R. K. Chung and R. L. Graham (1981) Recent results in graph decompositions, inCombinatorics (ed. H. N. V. Temperley), London Math. Soc. Lecture Notes, Ser. 52, Cambridge Univ. Press, pp. 103–123.

  6. P. Erdös and R. Rado (1960) Intersection theorems for systems of sets,J. London Math. Soc. 35, 85–90.

    Google Scholar 

  7. R. L. Graham, B. L. Rothschild, and J. H. Spencer (1980)Ramsey Theory, Wiley, New York.

    Google Scholar 

  8. Z. Lonc (1983) Decompositions of hypergraphs into hyperstars, manuscript.

  9. S. Yamamoto and S. Tazawa (1980) Hyperclaw decomposition of complete hypergraphs,Ann. Discrete Math. 6, 385–391.

    Google Scholar 

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Communicated by W. T. Trotter

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Lonc, Z., Truszczyński, M. Decomposition of large uniform hypergraphs. Order 1, 345–350 (1985). https://doi.org/10.1007/BF00582740

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  • DOI: https://doi.org/10.1007/BF00582740

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