A New Heuristic for the Minimum Connected Dominating Set Problem on Ad Hoc Wireless Networks

  • Sergiy Butenko
  • Xiuzhen Cheng
  • Carlos A. Oliveira
  • P. M. Pardalos
Part of the Cooperative Systems book series (COSY, volume 3)

Abstract

Given a graph G = (V, E), a dominating set D is a subset of V such that any vertex not in D is adjacent to at least one vertex in D. Efficient algorithms for computing the minimum connected dominating set (MCDS) are essential for solving many practical problems, such as finding a minimum size backbone in ad hoc networks. Wireless ad hoc networks appear in a wide variety of applications, including mobile commerce, search and discovery, and military battlefield. In this chapter we propose a new efficient heuristic algorithm for the minimum connected dominating set problem. The algorithm starts with a feasible solution containing all vertices of the graph. Then it reduces the size of the CDS by excluding some vertices using a greedy criterion. We also discuss a distributed version of this algorithm. The results of numerical testing show that, despite its simplicity, the proposed algorithm is competitive with other existing approaches.

Keywords

Agate Hunt Cuted 

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Sergiy Butenko
    • 1
  • Xiuzhen Cheng
    • 2
  • Carlos A. Oliveira
    • 3
  • P. M. Pardalos
    • 4
  1. 1.Department of Industrial EngineeringTexas A & M UniversityUSA
  2. 2.Department of Computer ScienceThe George Washington UniversityUSA
  3. 3.Department of Industrial and Systems EngineeringUniversity of FloridaGainesvilleUSA
  4. 4.Center for Applied Optimization Department of Industrial and Systems EngineeringUniversity of FloridaGainesvilleUSA

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