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Reconstruction of Finite Posets of Width Three

Cintioli, Patrizio
arXiv (All) · Papers
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combinatorics
We prove that every finite ordered set of width at most three and cardinality at least four is reconstructible from its deck. This settles the width-three part of an open problem posed by Schröder in Ordered Sets; the separate question concerning ordered sets of height one is not addressed here. The
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