Local PTAS for Dominating and Connected Dominating Set in Location Aware Unit Disk Graphs

2009 ◽  
pp. 227-240 ◽  
Author(s):  
Andreas Wiese ◽  
Evangelos Kranakis
Keyword(s):  
Unit Disk ◽  
Dominating Set ◽  
Connected Dominating Set ◽  
Unit Disk Graphs ◽  
Location Aware

Distributed construction of connected dominating set in unit disk graphs

2017 ◽  
Vol 104 ◽  
pp. 159-166 ◽  
Author(s):  
Ramesh K. Jallu ◽  
Prajwal R. Prasad ◽  
Gautam K. Das
Keyword(s):  
Unit Disk ◽  
Dominating Set ◽  
Connected Dominating Set ◽  
Unit Disk Graphs

scholarly journals A New Constant Factor Approximation to Construct Highly Fault-Tolerant Connected Dominating Set in Unit Disk Graph

2017 ◽  
Vol 25 (1) ◽  
pp. 18-28 ◽  
Author(s):  
Wei Wang ◽  
Bei Liu ◽  
Donghyun Kim ◽  
Deying Li ◽  
Jingyi Wang ◽  
...  
Keyword(s):  
Unit Disk ◽  
Fault Tolerant ◽  
Dominating Set ◽  
Constant Factor ◽  
Connected Dominating Set ◽  
Unit Disk Graph

ROMAN DOMINATION AND ITS VARIANTS IN UNIT DISK GRAPHS

2010 ◽  
Vol 02 (01) ◽  
pp. 99-105 ◽  
Author(s):  
WEIPING SHANG ◽  
XIUMEI WANG ◽  
XIAODONG HU
Keyword(s):  
Mathematical Model ◽  
Unit Disk ◽  
Wireless Ad Hoc Networks ◽  
Ad Hoc ◽  
Dominating Set ◽  
Roman Domination ◽  
Intersection Graphs ◽  
Unit Disk Graphs ◽  
Np Complete ◽  
Hoc Networks

Unit disk graphs are the intersection graphs of equal sized disks in the plane, they are widely used as a mathematical model for wireless ad-hoc networks and some problems in computational geometry. In this paper we first show that Roman dominating set and connected Roman dominating set problems in unit disk graphs are NP-complete, and then present two approximation algorithms for these problems.

scholarly journals Impact of Locality on Location Aware Unit Disk Graphs

Algorithms ◽  
2008 ◽  
Vol 1 (1) ◽  
pp. 2-29 ◽  
Author(s):  
Andreas Wiese ◽  
Evangelos Kranakis
Keyword(s):  
Unit Disk ◽  
Unit Disk Graphs ◽  
Location Aware
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