On $f$- and $h$-vectors of relative simplicial complexes

@article{Codenotti2017OnA,
  title={On \$f\$- and \$h\$-vectors of relative simplicial complexes},
  author={Giulia Codenotti and Lukas Katthan and Raman Sanyal},
  journal={arXiv: Combinatorics},
  year={2017},
  volume={2},
  pages={343-353}
}
A relative simplicial complex is a collection of sets of the form $\Delta \setminus \Gamma$, where $\Gamma \subset \Delta$ are simplicial complexes. Relative complexes played key roles in recent advances in algebraic, geometric, and topological combinatorics but, in contrast to simplicial complexes, little is known about their general combinatorial structure. In this paper, we address a basic question in this direction and give a characterization of $f$-vectors of relative (multi)complexes on a… Expand
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