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A λ -fold G -design is said to be α -resolvable if its blocks can be partitioned into classes such that every class contains each vertex exactly α times. In this paper we study the α -resolvability for λ -fold ( K 4  −  e ) -designs and prove that the necessary conditions for their existence are also sufficient, without any exception.

The spectrum of α-resolvable λ-fold (K_4 - e)-designs