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unige:12307 
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Log-concavity and compressed ideals in certain Macaulay posets |
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| 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-concavity — Binomial coe1cients — Macaulay posets — Unimodality | |
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| Citation (ISO format) | 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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