RCA: Efficient Connected Dominated Clustering Algorithm for Mobile Ad   Hoc Networks
  Clustering of mobile ad hoc networks is a largely growing field. The perceived benefits of clustering are comprehensively analyzed in open literature. This paper considers the development of a new connected-dominated-set clustering algorithm called Ring Clustering Algorithm (RCA). RCA is a heuristic algorithm that groups mobile nodes in a network into rings. Each ring consists of three ring-nodes. The priority of a ring is determined according to a new parameter, the ring degree. This paper presents the proof that the maximum number of rings that can be formed by RCA in any disk area equals the maximum number of independent nodes that create non-overlapping circles in a corresponding area. Moreover, RCA has achieved a fixed approximation ratio, which is 5.146 and O(n) for both time and message complexities. Thus, RCA algorithm outperforms the current-best CDS algorithms that are investigated in this paper. 
Ayman M. Bahaa-Eldin, Dina S. M. Hassan, Hossam M. A. Fahmy
cs.NI