Flag complex face structures and decompositions

Published 25 Sep 2024 in math.CO | (2409.16773v1)

Abstract: We consider how $f$-vectors of Cohen--Macaulay and vertex decomposable flag complexes in geometric settings decompose and interact with geometric transformations. This includes subdivisions of simplicial complexes and explicit equations connecting them to $f$-vectors. Applications from this approach include positivity properties of polynomials built out of simplicial complexes lying between unimodality and real-rootedness.

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Authors (1)

Soohyun Park

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