Ibrahim, Haslinda; Wallis, W. D. An enumeration of triad designs. (English) Zbl 1219.05011 J. Comb. Inf. Syst. Sci. 30, No. 1-4, 5-17 (2005). 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. Cited in 2 Documents MSC: 05B05 Combinatorial aspects of block designs 05A15 Exact enumeration problems, generating functions PDF BibTeX XML Cite \textit{H. Ibrahim} and \textit{W. D. Wallis}, J. Comb. Inf. Syst. Sci. 30, No. 1--4, 5--17 (2005; Zbl 1219.05011)