Minimum embedding of a K-3-design into a balanced incomplete block design of index lambda %26gt;= 2

作者：Gionfriddo Mario^*; Milici Salvatore

来源：Ars Combinatoria, 2013, 112: 279-291.

• Embedding
• BIBD

Let H be a subgraph of G. An H-design (V, C) of order v and index mu is embedded into a G-design (X, B) of order v + w, w %26gt;= 0, and index lambda, if mu %26lt;= lambda, V subset of X and there is an injective mapping f : C -%26gt; B such that B is subgraph of f(B) for every B is an element of C. %26lt;br%26gt;For every pair of positive integers v, lambda, we determine the minimum value of w such that there exists a balanced incomplete block design of order v+w, index lambda %26gt;= 2 and block-size 4 which embeds a K-3-design of order v and index mu = 1.

• 出版日期2013-10