Embedding Factorizations for 3-Uniform Hypergraphs II:$r$-Factorizations into $s$-Factorizations

[摘要] 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

[学科分类] 离散数学和组合数学

[关键词] Factorizations;Embedding;Detachments;Amalgamations;Edge-colorings;Hypergraphs