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Paper details
Number 2 - June 2015
Volume 25 - 2015
An efficient connected dominating set algorithm in WSNs based on the induced tree of the crossed cube
Jing Zhang, Li Xu, Shu-Ming Zhou, Wei Wu, Xiucai Ye
Abstract
The connected dominating set (CDS) has become a well-known approach for constructing a virtual backbone in wireless
sensor networks. Then traffic can forwarded by the virtual backbone and other nodes turn off their radios to save energy.
Furthermore, a smaller CDS incurs fewer interference problems. However, constructing a minimum CDS is an NP-hard
problem, and thus most researchers concentrate on how to derive approximate algorithms. In this paper, a novel algorithm
based on the induced tree of the crossed cube (ITCC) is presented. The ITCC is to find a maximal independent set (MIS),
which is based on building an induced tree of the crossed cube network, and then to connect the MIS nodes to form a CDS.
The priority of an induced tree is determined according to a new parameter, the degree of the node in the square of a graph.
This paper presents the proof that the ITCC generates a CDS with a lower approximation ratio. Furthermore, it is proved
that the cardinality of the induced trees is a Fibonacci sequence, and an upper bound to the number of the dominating set is
established. The simulations show that the algorithm provides the smallest CDS size compared with some other traditional
algorithms.
Keywords
wireless sensor networks, connected dominating set, induced tree, approximation algorithm, crossed cube