The toric $h$-vectors of partially ordered sets
نویسندگان
چکیده
منابع مشابه
THE TORIC h-VECTORS OF PARTIALLY ORDERED SETS
An explicit formula for the toric h-vector of an Eulerian poset in terms of the cd-index is developed using coalgebra techniques. The same techniques produce a formula in terms of the flag h-vector. For this, another proof based on Fine’s algorithm and lattice-path counts is given. As a consequence, it is shown that the Kalai relation on dual posets, gn/2(P ) = gn/2(P ∗), is the only equation r...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02657-x