The upper bound theorem for flag homology 5-manifolds

Abstract

We prove that among all flag homology $5$-manifolds with $n$ vertices, the join of $3$ circles of as equal length as possible is the unique maximizer of all the face numbers. The same upper bounds on the face numbers hold for $5$-dimensional flag Eulerian normal pseudomanifolds.

11 pages

References in corpus (2)

• Dense flag triangulations of 3-manifolds via extremal graph theory
• How to construct a flag complex with a given face vector

Cited by in corpus (1)

• Face enumeration on flag complexes and flag spheres