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 Bahmanian120.88
Mike Newman2385.81