In:
Discrete Mathematics, Algorithms and Applications, World Scientific Pub Co Pte Ltd, Vol. 04, No. 02 ( 2012-06), p. 1250014-
Abstract:
In this paper, we present a new proof for a well-known inequality, conjectured by Zassenhaus in 1947 and proved independently by Groemer in 1960 and Oler in 1961. The inequality gives an upper bound for the number of nonoverlapping unit discs whose centers can be packed into a compact convex region, and recently obtains a lot of applications in study of sensor networks.
Type of Medium:
Online Resource
ISSN:
1793-8309
,
1793-8317
DOI:
10.1142/S1793830912500140
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2012
