𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Minimal Translation Covers For Sets of Diameter 1

✍ Scribed by Károly Bezdek; Robert Connelly

Book ID
111533292
Publisher
Springer Netherlands
Year
1997
Tongue
English
Weight
175 KB
Volume
34
Category
Article
ISSN
0031-5303

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Minimal covers of finite sets
Minimal covers of finite sets
✍ T. Hearne; C. Wagner 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 303 KB
Small universal covers for sets of unit
Small universal covers for sets of unit diameter
✍ H. C. Hansen 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 392 KB

The current smallest convex universal cover for sets of unit diameter is described. This reduction of Sprague's cover is by 4-10-J 1 and results in an asymmetrical cover. Another small universal cover of sets of unit diameter with an axis of symmetry reduces Sprague's cover by 0.0019. An indication

Minimal Diameter of Certain Sets in the
Minimal Diameter of Certain Sets in the Plane
✍ András Bezdek; Ferenc Fodor 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 91 KB

We investigate the problem of finding the smallest diameter D(n) of a set of n points such that all the mutual distances between them are at least 1. The asymptotic behaviour of D(n) is known; the exact value of D(n) can be easily found up to 6 points. Bateman and Erdo s proved that D(7)=2. In this