Discrete Mathematics - Topics on domination
Approximation algorithms for NP-complete problems on planar graphs
Journal of the ACM (JACM)
Approximation schemes for covering and packing problems in image processing and VLSI
Journal of the ACM (JACM)
NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs
Journal of Algorithms
Middleware: Middleware Challenges and Approaches for Wireless Sensor Networks
IEEE Distributed Systems Online
Improving Construction for Connected Dominating Set with Steiner Tree in Wireless Sensor Networks
Journal of Global Optimization
Minimum connected dominating sets and maximal independent sets in unit disk graphs
Theoretical Computer Science
A simple improved distributed algorithm for minimum CDS in unit disk graphs
ACM Transactions on Sensor Networks (TOSN)
International Journal of Sensor Networks
Load-balanced CDS construction in wireless sensor networks via genetic algorithm
International Journal of Sensor Networks
Approximation algorithms for load-balanced virtual backbone construction in wireless sensor networks
Theoretical Computer Science
On construction of quality fault-tolerant virtual backbone in wireless networks
IEEE/ACM Transactions on Networking (TON)
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Connected Dominating Set is widely used as virtual backbone in wireless Ad-hoc and sensor networks to improve the performance of transmission and routing protocols. Based on special characteristics of Ad-hoc and sensor networks, we usually use unit disk graphto represent the corresponding geometrical structures, where each node has a unit transmission range and two nodes are said to be adjacent if the distance between them is less than 1. Since every Maximal Independent Set (MIS) is a dominating set and it is easy to construct, we can firstly find a MIS and then connect it into a Connected Dominating Set (CDS). Therefore, the ratio to compare the size of a MIS with a minimum CDS becomes a theoretical upper bound for approximation algorithms to compute CDS. In our paper, with the help of Voronoi diagram and Euler's formula, we improved this upper bound, so that improved the approximations based on this relation.