Flag f-vectors of three-colored complexes
Andrew Frohmader
TL;DR
This paper characterizes the flag f-vectors of three-colored complexes, providing insights into their structure and implications for related classes of complexes such as Cohen-Macaulay and shellable complexes of dimension two.
Contribution
It offers a complete characterization of flag f-vectors for three-colored complexes, linking them to flag h-vectors of specific two-dimensional complexes.
Findings
Characterization of flag f-vectors for three-colored complexes
Implications for flag h-vectors of Cohen-Macaulay complexes
Implications for flag h-vectors of shellable complexes
Abstract
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.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Graph theory and applications · Topological and Geometric Data Analysis