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Results tagged with combinatorial-designs
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user 89803
Design theory is the subfield of combinatorics concerning the existence and construction of highly symmetric arrangements. Finite projective planes, latin squares, and Steiner triple systems are examples of designs.
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Minimal number of blocks in a $(n,n/2,\lambda)$ block design
A $(n,n/2,\lambda)$ block-design is a family $A_1,...,A_K$ of subsets of $[n]$ such that $|A_i|=n/2$ and for every $1 \leq i < j \leq n$ it holds that
$\#\{1 \leq k \leq K : i,j \in A_k \} = \lambda$. …
