Face enumeration on flag complexes and flag spheres
Combinatorics
2018-11-21 v2
Abstract
We give a survey on the recent results and problems on the face enumeration of flag complexes and flag simplicial spheres, with an emphasis on the characterization of face vectors of flag complexes, several lower-bound type of conjectures including the Charney-Davis conjecture and Gal's conjecture, and the upper bound conjecture for flag spheres and pseudomanifolds.
Cite
@article{arxiv.1809.06835,
title = {Face enumeration on flag complexes and flag spheres},
author = {Hailun Zheng},
journal= {arXiv preprint arXiv:1809.06835},
year = {2018}
}
Comments
14 pages