Geodesic
Sharply transitive 1-factorizations of complete multipartite graphs
The electronic journal of combinatorics, Tome 17 (2010)
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Given a finite group $G$ of even order, which graphs $\Gamma$ have a $1$-factorization admitting $G$ as automorphism group with a sharply transitive action on the vertex-set? Starting from this question, we prove some general results and develop an exhaustive analysis when $\Gamma$ is a complete multipartite graph and $G$ is cyclic.
DOI : 10.37236/349
Classification : 05C25, 05C70 
@article{10_37236_349,
     author = {Giuseppe Mazzuoccolo and Gloria Rinaldi},
     title = {Sharply transitive 1-factorizations of complete multipartite graphs},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/349},
     zbl = {1215.05083},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/349/}
}
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Giuseppe Mazzuoccolo; Gloria Rinaldi. Sharply transitive 1-factorizations of complete multipartite graphs. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/349

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