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- W1538588321 abstract "Let P and P' be two finite posets on the same vertex set V. The posets P and P' are hereditarily hypomorphic if forevery subset X of V, the induced subposets P(X) and P'(X)are isomorphic. The posets P and P' are {-1,2}-hypomorphic if for every subset X of V, |X| in {2,|V|-1}, the subposets P(X) and P'(X) are isomorphic. P. Ille and J.X. Rampon showed that if two posets P and P', with at least 4 vertices, are {-1,2}-hypomorphic, then P and P' are isomorphic. Under the same hypothesis, we prove that P and P' are hereditarily hypomorphic. Moreover, we characterize the pairs of hereditarily hypomorphic posets." @default.
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- W1538588321 date "2009-06-08" @default.
- W1538588321 modified "2023-09-27" @default.
- W1538588321 title "{-1,2}-hypomorphy and hereditary hypomorphy coincide for posets" @default.
- W1538588321 doi "https://doi.org/10.11575/cdm.v4i1.61995" @default.
- W1538588321 hasPublicationYear "2009" @default.
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