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Resolving Triple Systems into Regular Configurations

Resolving Triple Systems into Regular Configurations

A $\lambda-Triple\ System(v)$, or a $\lambda $–$TS(V,\cal{B})$, is a pair (V, $\cal{B}$) where V is a set and $\cal{B}$ is a subset of the 3-subsets of V so that every pair is in exactly $\lambda$ elements of $\cal{B}$. A $regular\ configuration$ on p points with regularity $\rho$ on $l$ blocks …