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An enumeration of triad designs. (English) Zbl 1219.05011
Summary: We discuss a type of factorization called a compatible factorization. We introduce an invariant, the number of $$k$$-fold edges, and use it to enumerate isomorphism classes of these factorizations on seven points.

MSC:
 05B05 Combinatorial aspects of block designs 05A15 Exact enumeration problems, generating functions