Covering a Ball by Smaller Balls

Authors

Alexey Glazyrin, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

5-2018

Abstract

We prove that, for any covering of a unit d-dimensional Euclidean ball by smaller balls, the sum of radii of the balls from the covering is greater than d. We also investigate the problem of finding lower and upper bounds for the sum of powers of radii of the balls covering a unit ball.

Comments

© 2018 Springer Nature Switzerland AG. Original published version available at https://doi.org/10.1007/s00454-018-0010-4

Readcube: https://rdcu.be/cPzke

Recommended Citation

Glazyrin, A. Covering a Ball by Smaller Balls. Discrete Comput Geom 62, 781–787 (2019). https://doi.org/10.1007/s00454-018-0010-4

First Page

781

Last Page

787

Publication Title

Discrete & Computational Geometry

DOI

10.1007/s00454-018-0010-4