Impact of Locality on Location Aware Unit Disk Graphs

Impact of Locality on Location Aware Unit Disk Graphs

Due to their importance for studies oi wireless networks, recent years have seen a surge of activity on the design of local algorithms for the solution of a variety of network tasks. We study the behaviour of algorithms with very low localities. Despite of this restriction we propose local constant...

Full description

Bibliographic Details
Main Authors: Evangelos Kranakis, Andreas Wiese
Format: Article
Language:English
Published: MDPI AG 2008-09-01
Series:Algorithms
Subjects:
Unit Disk Graphs
Location Awareness
Local Algorithms
Approximation Algorithms
Lower Bounds
Online Access:http://www.mdpi.com/1999-4893/1/1/2/
id doaj-00bd45a3326e4faca951895982f82d50
record_format Article
spelling doaj-00bd45a3326e4faca951895982f82d502020-11-25T00:23:16ZengMDPI AGAlgorithms1999-48932008-09-011122910.3390/a1010002Impact of Locality on Location Aware Unit Disk GraphsEvangelos KranakisAndreas WieseDue to their importance for studies oi wireless networks, recent years have seen a surge of activity on the design of local algorithms for the solution of a variety of network tasks. We study the behaviour of algorithms with very low localities. Despite of this restriction we propose local constant ratio approximation algorithms for solving minimum dominating and connected dominating set, maximum independent set and minimum vertex cover in location aware Unit Disk Graphs. We also prove the first ever lower bounds for local algorithms for these problems with a given locality in the location aware setting.http://www.mdpi.com/1999-4893/1/1/2/Unit Disk GraphsLocation AwarenessLocal AlgorithmsApproximation AlgorithmsLower Bounds
collection DOAJ
language English
format Article
sources DOAJ
author Evangelos Kranakis
Andreas Wiese
spellingShingle Evangelos Kranakis
Andreas Wiese
Impact of Locality on Location Aware Unit Disk Graphs
Algorithms
Unit Disk Graphs
Location Awareness
Local Algorithms
Approximation Algorithms
Lower Bounds
author_facet Evangelos Kranakis
Andreas Wiese
author_sort Evangelos Kranakis
title Impact of Locality on Location Aware Unit Disk Graphs
title_short Impact of Locality on Location Aware Unit Disk Graphs
title_full Impact of Locality on Location Aware Unit Disk Graphs
title_fullStr Impact of Locality on Location Aware Unit Disk Graphs
title_full_unstemmed Impact of Locality on Location Aware Unit Disk Graphs
title_sort impact of locality on location aware unit disk graphs
publisher MDPI AG
series Algorithms
issn 1999-4893
publishDate 2008-09-01
description Due to their importance for studies oi wireless networks, recent years have seen a surge of activity on the design of local algorithms for the solution of a variety of network tasks. We study the behaviour of algorithms with very low localities. Despite of this restriction we propose local constant ratio approximation algorithms for solving minimum dominating and connected dominating set, maximum independent set and minimum vertex cover in location aware Unit Disk Graphs. We also prove the first ever lower bounds for local algorithms for these problems with a given locality in the location aware setting.
topic Unit Disk Graphs
Location Awareness
Local Algorithms
Approximation Algorithms
Lower Bounds
url http://www.mdpi.com/1999-4893/1/1/2/
work_keys_str_mv AT evangeloskranakis impactoflocalityonlocationawareunitdiskgraphs
AT andreaswiese impactoflocalityonlocationawareunitdiskgraphs
_version_ 1725357961053732864

Similar Items