JournalsjemsVol. 23, No. 8pp. 2511–2547

Resolution of the Oberwolfach problem

  • Stefan Glock

    ETH Zürich, Switzerland

  • Felix Joos

    Universität Heidelberg, Germany

  • Jaehoon Kim

    Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Korea

  • Daniela Kühn

    University of Birmingham, UK

  • Deryk Osthus

    University of Birmingham, UK
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Abstract

The Oberwolfach problem, posed by Ringel in 1967, asks for a decomposition of into edge-disjoint copies of a given 2-factor. We show that this can be achieved for all large . We actually prove a significantly more general result, which allows for decompositions into more general types of factors. In particular, this also resolves the Hamilton–Waterloo problem for large .

Cite this article

Stefan Glock, Felix Joos, Jaehoon Kim, Daniela Kühn, Deryk Osthus, Resolution of the Oberwolfach problem. J. Eur. Math. Soc. 23 (2021), no. 8, pp. 2511–2547

DOI 10.4171/JEMS/1060