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Face enumeration on flag complexes and flag spheres

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arxiv 1809.06835 v2 pith:K3542CJW submitted 2018-09-18 math.CO

Hailun Zheng This is my paper · ORCID
classification math.CO
keywords flagcomplexesconjecturefacespheresenumerationboundcharacterization
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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.

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Cited by 1 Pith paper

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  1. Induced equators in flag spheres

    math.CO 2019-08 conditional novelty 7.0 of 10

    The authors prove new reductions and a new h-vector inequality for flag polytopes, giving conditional evidence for the Equator Conjecture.

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