An AZ-style identity and Bollobás deficiency
نویسندگان
چکیده
منابع مشابه
A generalization of the AZ identity
We associate with every ~ c 2 ~ the upset U(~) = {U c gt : U D E for some E E ~} and the downset ~ ) ( 8 ) {D c ~ : D C E for some E C $}. W h e n ~d is an antichain in the poset (2 ~, D), then the identi ty becomes 1 w a ( x ) = 1. (1) ~ ~ + ~ Ixl(,;~,------5 xe~ (Ixr) xeu(~)\~ The LYM inequality is obtained by omission of the second summand, which by definition of W~ can also be wri t ten in ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2007
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2007.03.005