A new proof for Zassenhaus-Groemer-Oler inequality

Qinghai Liu; Xiang Li; Lidong Wu; H. A.I. Du; Zhao Zhang; Weili Wu; Xiaodong Hu; Yinfeng Xu

doi:10.1142/S1793830912500140

A new proof for Zassenhaus-Groemer-Oler inequality

Qinghai Liu
, Xiang Li
, Lidong Wu
, H. A.I. Du
, Zhao Zhang
, Weili Wu
, Xiaodong Hu
, Yinfeng Xu

管理学院

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
文章编号	1250014
期刊	Discrete Mathematics, Algorithms and Applications
卷	4
期	2
DOI	https://doi.org/10.1142/S1793830912500140
出版状态	已出版 - 1 6月 2012

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AU - Du, H. A.I.

AU - Zhang, Zhao

AU - Wu, Weili

AU - Hu, Xiaodong

AU - Xu, Yinfeng

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N2 - 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.

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KW - Disc packing

KW - Sensor network

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A new proof for Zassenhaus-Groemer-Oler inequality

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