On Equivariant flag f-vectors for balanced relative simplicial complexes

Authors

Jacob A. White, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

10-3-2022

Abstract

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.

Recommended Citation

White, Jacob A. "On Equivariant flag $ f $-vectors for balanced relative simplicial complexes." arXiv preprint arXiv:2210.01102 (2022).

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.