N-reconstructibility of non-reconstructible digraphs
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In this paper we prove that all the non-reconstructible digraphs constructed by Stockmeyer in [3] are reconstructible from their point-deleted subdigraphs with the additional knowledge of the degree pair of the deleted point for each point-deleted subdigraph.
[1] S. Ramachandran. On a new digraph reconstruction conjecture , 1981, J. Comb. Theory, Ser. B.
[2] Claude Berge,et al. The theory of graphs and its applications , 1962 .
[3] Paul K. Stockmeyer. A census of non-reconstructable digraphs, I: Six related families , 1981, J. Comb. Theory, Ser. B.