Geodesic
Resolution of the Oberwolfach problem
Stefan Glock1 ; Felix Joos2 ; Jaehoon Kim2 ; Daniela Kühn2 ; Deryk Osthus2 ; Stefan Glock ; Felix Joos ; Jaehoon Kim ; Daniela Kühn ; Deryk Osthus
1School of Mathematics, University of Birmingham, Birmingham, UK
2School of Mathematics, University of Birmingham, Birmingham, UK
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 735-741 
Stefan Glock; Felix Joos; Jaehoon Kim; Daniela Kühn; Deryk Osthus; Stefan Glock; Felix Joos; Jaehoon Kim; Daniela Kühn; Deryk Osthus. Resolution of the Oberwolfach problem. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 3, pp. 735-741. http://geodesic.mathdoc.fr/item/AMUC_2019_88_3_a58/
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     author = {Stefan Glock and Felix Joos and Jaehoon Kim and Daniela K\"uhn and Deryk Osthus and Stefan Glock and Felix Joos and Jaehoon Kim and Daniela K\"uhn and Deryk Osthus},
     title = { Resolution of the {Oberwolfach} problem},
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Voir la notice de l'article provenant de la source Comenius University

The Oberwolfach problem, posed by Ringel in 1967, asks for a decomposition of $K_{2n+1}$ into edge-disjoint copies of a given $2$-factor.We show that this can be achieved for all large $n$.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 $n$.