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Log-concavity and compressed ideals in certain Macaulay posets

Published in Discrete Mathematics. 2002, vol. 254, no. 1-3, p. 421-432
Abstract Let Bn be the poset of subsets of {1; 2; : : : ; n} ordered byinclusion and Mn be the poset of monomials in x1; x2; : : : ; xn ordered bydivisibility. Both these posets have an additional linear order making them what is called Macaulayposets. We show in this paper that the pro-les (also called f-vectors) of ideals in Bn and Mn generated bythe -rst elements (relativelyto the linear order) of a given rank are log-concave.
Keywords Log-concavityBinomial coe1cientsMacaulay posetsUnimodality
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PITTELOUD, Philippe. Log-concavity and compressed ideals in certain Macaulay posets. In: Discrete Mathematics, 2002, vol. 254, n° 1-3, p. 421-432. https://archive-ouverte.unige.ch/unige:12307

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Deposited on : 2010-11-04

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