Flag f-Vectors of Three-Colored Complexes
نویسنده
چکیده
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.
منابع مشابه
Flag f-vectors of colored complexes
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 ...
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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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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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عنوان ژورنال:
- Electr. J. Comb.
دوره 19 شماره
صفحات -
تاریخ انتشار 2012