Skip to main content
Log in

Extending Factorizations of Complete Uniform Hypergraphs

  • Original paper
  • Published:
Combinatorica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. L. D. Andersen and A. J. W. Hilton: Generalized Latin rectangles, II, Embedding, Discrete Math. 31 (1980), 235–260.

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Bahmanian and M. Newman: Embedding factorizations for 3-uniform hypergraphs II: r-factorizations into s-factorizations, Electron. J. Combin. 23 (2016), paper 2.42, 14.

  3. A. Bahmanian and C. Rodger: Embedding factorizations for 3-uniform hypergraphs, J. Graph Theory 73 (2013), 216–224.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. A. Bahmanian: Detachments of hypergraphs I: The Berge-Johnson problem, Combin. Probab. Comput. 21 (2012), 483–495.

    Article  MathSciNet  MATH  Google Scholar 

  5. Zs. Baranyai: On the factorization of the complete uniform hypergraph, in: Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdńs on his 60th birthday), Vol. I, 91–108. Colloq. Math. Soc. János Bolyai, Vol. 10. North-Holland, Amsterdam, 1975.

    Google Scholar 

  6. Zs. Baranyai and A. E. Brouwer: Extension Of Colourings Of The Edges Of A Complete (uniform Hyper)graph, CWI Technical Report ZW 91/77, 1977.

    MATH  Google Scholar 

  7. P. J. Cameron: Parallelisms of complete designs, Cambridge University Press, Cambridge-New York-Melbourne, 1976. London Mathematical Society Lecture Note Series, No. 23.

    Book  MATH  Google Scholar 

  8. R. Häggkvist and T. Hellgren: Extensions of edge-colourings in hypergraphs, I, in: Combinatorics, Paul Erdős is eighty, Vol. 1, Bolyai Soc. Math. Stud., 215–238. János Bolyai Math. Soc., Budapest, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Amin Bahmanian.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Amin Bahmanian, M., Newman, M. Extending Factorizations of Complete Uniform Hypergraphs. Combinatorica 38, 1309–1335 (2018). https://doi.org/10.1007/s00493-017-3396-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00493-017-3396-3

Mathematics Subject Classification (2000)

Navigation