Asymptotics for face numbers of certain Hanner polytopes, with applications
Tomer Milo
TL;DR
This paper derives asymptotic formulas for the face counts of specific Hanner polytopes and applies these results to approach the FLM inequality bounds for particular parameters.
Contribution
It introduces asymptotic analysis for face numbers of Hanner polytopes and connects these results to inequalities in convex geometry.
Findings
Asymptotic formulas for face numbers of Hanner polytopes
Near-saturation of the FLM inequality for certain parameters
Enhanced understanding of face structure in specific polytopes
Abstract
We provide asymptotics for the number of faces of a certain family of Hanner polytopes. As a corollary, we come close to saturating the FLM inequality for a certain family of parameters.
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