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The directed anti-Oberwolfach solution: Pancyclic 2-factorizations of complete directed graphs of odd order
The electronic journal of combinatorics, Tome 9 (2002)
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The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of $K_{2n+1}$, not with consistent cycle components in each 2-factor like the Oberwolfach problem, but such that every admissible cycle size appears at least once in some 2-factor. The solution takes advantage of both Piotrowski's decomposition techniques used to solve Oberwolfach problems and the techniques used by the author to solve the undirected anti-Oberwolfach problem.
DOI : 10.37236/1633
Classification : 05C70 
@article{10_37236_1633,
     author = {Brett Stevens},
     title = {The directed {anti-Oberwolfach} solution: {Pancyclic} 2-factorizations of complete directed graphs of odd order},
     journal = {The electronic journal of combinatorics},
     year = {2002},
     volume = {9},
     doi = {10.37236/1633},
     zbl = {1004.05049},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1633/}
}
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Brett Stevens. The directed anti-Oberwolfach solution: Pancyclic 2-factorizations of complete directed graphs of odd order. The electronic journal of combinatorics, Tome 9 (2002). doi: 10.37236/1633

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