A new proof of Vazsonyi's conjecture
classification
🧮 math.CO
math.MG
keywords
proofdiameteravoidsballconjecturecorollaryembeddedeuclidean
read the original abstract
We present a self-contained proof that the number of diameter pairs among n points in Euclidean 3-space is at most 2n-2. The proof avoids the ball polytopes used in the original proofs by Grunbaum, Heppes and Straszewicz. As a corollary we obtain that any three-dimensional diameter graph can be embedded in the projective plane.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.