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Almost every graph has reconstruction number three. (English) Zbl 0702.05061

The reconstrucion number was introduced by F. Harary and M. Plantholt [J. Graph Theory 9, 451-454 (1985; Zbl 0664.05043)] who conjectured that almost every graph has reconstruction number three. The paper contains a proof of this conjecture.
Reviewer: Th.Andreae

MSC:

05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.)
05C80 Random graphs (graph-theoretic aspects)

Citations:

Zbl 0664.05043
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References:

[1] Random Graphs, Academic Press, London, 1985, xvi + 447 pp.
[2] Harary, J. Graph Theory 9 pp 451– (1985)
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