Orbits of Antichains in Ranked Posets
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D.G. Fon-Der-Flaass
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Article
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1993
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Elsevier Science
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English
β 149 KB
We consider the permutation \(f\) of antichains of a ranked poset \(P\), moving the set of lower units of any monotone boolean function on \(P\) to the set of its upper zeros. A duality relation on orbits of this permutation is found, which is used for proving a conjecture by M. Deza and K. Fukuda.