Classification of Directed and Hybrid Triple Systems
نویسندگان
چکیده
Pairwise nonisomorphic directed and hybrid triple systems can be generated by, respectively, directing and ordering twofold triple systems and using the automorphisms of the twofold triple systems for isomorph rejection. Using this approach directed triple systems of order up to 10 and hybrid triple systems of order up to 9 are classified. In particular, it turns out that the number of nonisomorphic directed triple systems of orders 9 and 10 are 596,893,386 and 3,753,619,614,456, respectively.
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