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Reconstruction equivalences. (English) Zbl 0629.05051

Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11, 71-75 (1985).

A graph is called an equivalence if each of its connected components is a complete graph. Two results are established: 1) Every equivalence on less than k.ln(k/2) points is uniquely determined by its k-point induced subgraphs, 2) the same is not true for every equivalence on at least \((k+1).2^{k-1}\) points.

Reviewer: Th.Andreae

MSC:

05C60

Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)

Keywords:

equivalence

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