A Backbone Formation Algorithm in Wireless Sensor Network Based on Pursuit Algorithm

-In wireless sensor network, virtual backbone formulation is a cost effective method to complete the broadcasting. Minimum connected dominating set is an outstanding candidate of virtual backbone. However, it is NP-Hard to find a minimum connected dominating set in an arbitrary graph. In this paper, we propose a novel backbone formation algorithm to construct a connected dominating set. In the proposed method, a dominating set and action sets are got at first. Then, sink executes the pursuit algorithm, in which nodes are treated as learning automata and action probability vector is changed with time, and chooses actions from their action sets to construct a connected dominated set Finally, the automaton converges to a common policy and an approximate solution of the minimum connected dominating set is got. It is also shown that our method is εoptimality with the changing speed of learning parameter. The simulation results show that our algorithm has a good performance in terms on the size of backbone, the message overhead and average node degree. Key-Words: -Backbone; Wireless sensor network; connected dominating set; pursuit algorithm