Upper bound theorem for odd-dimensional flag triangulations of manifolds

Abstract

We prove that among all flag triangulations of manifolds of odd dimension 2r-1 with sufficiently many vertices the unique maximizer of the entries of the f-, h-, g- and gamma-vector is the balanced join of r cycles. Our proof uses methods from extremal graph theory.

Clarifications and new references, title has changed

References in corpus (3)

• Dense flag triangulations of 3-manifolds via extremal graph theory
• An upper bound theorem for a class of flag weak pseudomanifolds
• The flag upper bound theorem for 3- and 5-manifolds

Cited by in corpus (1)

• The flag upper bound theorem for 3- and 5-manifolds