Diameter-extremal subsets of spheres

  • Mikhail Katz

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We investigate those spherical point sets which, relative to the Hausdorff metric, give local minima of the diameter function, and obtain estimates which, in principle, justify computer-generated configurations. We test the new sets against two classical conjectures: Borsuk's and McMullen's.

Original languageEnglish
Pages (from-to)117-137
Number of pages21
JournalDiscrete and Computational Geometry
Volume4
Issue number1
DOIs
StatePublished - Dec 1989
Externally publishedYes

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