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  Approximating Energy Efficient Paths in Wireless Multi-hop Networks

Funke, S., Matijevic, D., & Sanders, P. (2003). Approximating Energy Efficient Paths in Wireless Multi-hop Networks. In Algorithms - ESA 2003: 11th Annual European Symposium (pp. 230-241). Berlin, Germany: Springer.

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RadioESA03long.ps.gz (Any fulltext), 262KB
 
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 Creators:
Funke, Stefan1, Author           
Matijevic, Domagoj1, Author           
Sanders, Peter1, Author           
Di Battista, Giuseppe, Editor
Zwick, Uri, Editor
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: Given the positions of $n$ sites in a radio network we consider the problem of finding routes between any pair of sites that minimize energy consumption and do not use more than some constant number $k$ of hops. Known exact algorithms for this problem required $\Omega(n \log n)$ per query pair $(p,q)$. In this paper we relax the exactness requirement and only require approximate $(1+\epsilon)$ solutions which allows us to derive schemes which guarantee constant query time using linear space and $O(n\log n)$ preprocessing time. The dependence on $\epsilon$ is polynomial in $1/\epsilon$. One tool used might be of independent interest: For any pair of points $(p,q)\in P\subseteq\mathbb{Z}^2$ report in constant time the cluster pair $(A,B)$ representing $(p,q)$ in a well-separated pair decomposition of $P$.

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Language(s): eng - English
 Dates: 2004-06-152003
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 201834
Other: Local-ID: C1256428004B93B8-1EAC93284072E6C4C1256E150042DA25-Matijevic2003
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Title: ESA 2003
Place of Event: Budapest, Hungary
Start-/End Date: 2003-09-16 - 2003-09-19

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Title: Algorithms - ESA 2003: 11th Annual European Symposium
Source Genre: Proceedings
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Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 230 - 241 Identifier: ISBN: 3-540-20064-9

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Pages: - Volume / Issue: 2832 Sequence Number: - Start / End Page: - Identifier: -