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Face enumeration on flag complexes and flag spheres

· 2018 · math.CO · arXiv 1809.06835

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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.

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math.CO 1

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2019 1

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CONDITIONAL 1

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Induced equators in flag spheres

math.CO · 2019-08-23 · conditional · novelty 7.0

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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  • Induced equators in flag spheres math.CO · 2019-08-23 · conditional · none · ref 21 · internal anchor

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