Note on Kocayʹs 3-Hypergraphs and Stockmeyerʹs Tournaments

In this note, we study the nonreconstructibility property through examples given by Stockmeyer (for tournaments) and Kocay (for 3-hypergraphs). Relating these examples we show how to obtain non (−1)-reconstructible ternary relations from particular non (−1)-reconstructible binary ones.