Title | ||
---|---|---|
Embedding Factorizations for 3-Uniform Hypergraphs II: $r$-Factorizations into $s$-Factorizations. |
Abstract | ||
---|---|---|
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 $r=s=1$. |
Year | Venue | Field |
---|---|---|
2016 | Electr. J. Comb. | Discrete mathematics,Combinatorics,Embedding,Vertex (geometry),Hypergraph,Constraint graph,Mathematics |
DocType | Volume | Issue |
Journal | 23 | 2 |
Citations | PageRank | References |
2 | 0.54 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Amin Bahmanian | 1 | 2 | 0.88 |
Mike Newman | 2 | 38 | 5.81 |