Polynomial LYM inequalities

Christian Bey

doi:10.1007/s00493-005-0002-x

Polynomial LYM inequalities

Christian Bey^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

14 Zitate (Scopus)

Abstract

For a Sperner family A ⊆ 2^[n] let A_i denote the family of all i-element sets in A. We sharpen the LYM inequality ∑_i |A_i|/(_iⁿ) ≤ 1 by adding to the LHS all possible products of fractions |A_i|/(_i ⁿ), with suitable coefficients. A corresponding inequality is established also for the linear lattice and the lattice of subsets of a multiset (with all elements having the same multiplicity).

Originalsprache	Englisch
Zeitschrift	Combinatorica
Jahrgang	25
Ausgabenummer	1
Seiten (von - bis)	19-38
Seitenumfang	20
ISSN	0209-9683
DOIs	https://doi.org/10.1007/s00493-005-0002-x
Publikationsstatus	Veröffentlicht - 01.12.2004

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10.1007/s00493-005-0002-x

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Polynomial LYM inequalities

Abstract

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