Two new proofs of partial Godbersen's Conjecture
Metric Geometry
2024-06-06 v2 Combinatorics
Abstract
Two new proofs are provided, offering two new perspectives on Godbersen's conjecture. One of the proofs utilizes Helly's theorem to provide a concise and elegant proof of the inequality in Godbersen's conjecture. The other proof utilizes the Brunn-Minkowski inequality to provide a completely new proof of the inclusion for convex bodies with centroid at the origin, thereby proving Godbersen's conjecture.
Keywords
Cite
@article{arxiv.2406.00278,
title = {Two new proofs of partial Godbersen's Conjecture},
author = {Lin Cheng},
journal= {arXiv preprint arXiv:2406.00278},
year = {2024}
}