The flag $f$-vectors of Gorenstein* order complexes of dimension $3$
نویسندگان
چکیده
منابع مشابه
THE FLAG f-VECTORS OF GORENSTEIN* ORDER COMPLEXES OF DIMENSION 3
We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f -vectors of Gorenstein* order complexes of dimension 3. As a corollary, we characterize the f -vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization rise a speculated intimate connection between the f -vectors of flag homology spheres and the f -vectors of Gorenstein* order comp...
متن کاملTHE FLAG f - VECTORS OF GORENSTEIN * ORDER COMPLEXES OF DIMENSION 3 3 ( b ) The vector ( 1 , x , y ) is
We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f -vectors of Gorenstein* order complexes of dimension 3. As a corollary, we characterize the f -vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization rise a speculated intimate connection between the f -vectors of flag homology spheres and the f -vectors of Gorenstein* order comp...
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It is shown that conditions stronger in a certain sense than colorshifting cannot be placed on the class of colored complexes without changing the characterization of the flag f-vectors. In the late 1970s, Stanley [6] showed that two particular classes of simplicial complexes have equivalent characterizations of their flag f-vectors. Several years later, Björner, Frankl, and Stanley [1] showed ...
متن کاملFlag f-Vectors of Three-Colored Complexes
The flag f-vectors of three-colored complexes are characterized. This also characterizes the flag h-vectors of balanced Cohen-Macaulay complexes of dimension two, as well as the flag h-vectors of balanced shellable complexes of dimension two.
متن کاملCutting Polytopes and Flag f-Vectors
We show how the flag f-vector of a polytope changes when cutting off any face, generalizing work of Lee for simple polytopes. The result is in terms of explicit linear operators on cd-polynomials. Also, we obtain the change in the flag f-vector when contracting any face of the polytope.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2014
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2014-11897-1