Geodesic
Embedding factorizations for 3-uniform hypergraphs II: \(r\)-factorizations into \(s\)-factorizations
Amin Bahmanian1 ; Mike Newman2
1Illinois State University
2University of Ottawa
The electronic journal of combinatorics, Tome 23 (2016) no. 2
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Motivated by a 40-year-old problem due to Peter Cameron on extending partial parallelisms, we provide necessary and sufficient conditions under which one can extend an $r$-factorization of a complete $3$-uniform hypergraph on $m$ vertices, $K_m^3$, to an $s$-factorization of $K_n^3$. This generalizes an existing result of Baranyai and Brouwer — where they proved it for the case $r=s=1$.
DOI : 10.37236/5714
Classification : 05C70, 05C65, 05C15, 05B40, 05B05
Mots-clés : factorizations, embedding, detachments, amalgamations, edge colorings, hypergraphs

Amin Bahmanian  1   ; Mike Newman  2

1 Illinois State University
2 University of Ottawa 
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     title = {Embedding factorizations for 3-uniform hypergraphs {II:} \(r\)-factorizations into \(s\)-factorizations},
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     number = {2},
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Amin Bahmanian; Mike Newman. Embedding factorizations for 3-uniform hypergraphs II: \(r\)-factorizations into \(s\)-factorizations. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/5714

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