Polynomial Lym Inequalities
نویسنده
چکیده
For a Sperner family A ⊆ 2 [n] let Ai denote the family of all i-element sets in A. We sharpen the LYM inequality i |Ai|/ n i ≤ 1 by adding to the LHS all possible products of fractions |Ai|/ n i , 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).
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ورودعنوان ژورنال:
- Combinatorica
دوره 25 شماره
صفحات -
تاریخ انتشار 2004