Analysis on Theoretical Bounds for Approximating Dominating Set Problems

نویسندگان

  • Xiaofeng Gao
  • Yuexuan Wang
  • Xianyue Li
  • Weili Wu
چکیده

Connected Dominating Set is widely used as virtual backbone in wireless networks to improve network performance and optimize routing protocols. Based on special characteristics of ad-hoc and sensor networks, we usually use unit disk graph to 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 an MIS and then connect it into a Connected Dominating Set (CDS). Therefore, the ratio to compare the size of an MIS with a minimum CDS becomes a theoretical upper bound for approximation algorithms to compute CDS. In our paper,

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عنوان ژورنال:
  • Discrete Math., Alg. and Appl.

دوره 1  شماره 

صفحات  -

تاریخ انتشار 2009