School of Mathematical and Statistical Sciences Faculty Publications and Presentations
We study the equivariant flag f-vector and equivariant flag h-vector of a balanced relative simplicial complex with respect to a group action. When the complex satisfies Serre's condition (Sℓ), we show that the equivariant flag h-vector, the equivariant h-vector, and the equivariant f-vector satisfy several inequalities.
We apply these results to the study of P-partitions of double posets, and weak colorings of mixed graphs.
White, Jacob A. "On Equivariant flag $ f $-vectors for balanced relative simplicial complexes." arXiv preprint arXiv:2210.01102 (2022).
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