R.B. Muhammad (USA)

Virtual backbone, Connected dominating set, Steiner trees, Approximation algorithm, Distributed algorithm.

Multicast routing problem is to ﬁnd a tree rooted at a source node to all multicast destination nodes. In dominating set problem, we are required to ﬁnd a minimum size subset of vertices that each vertex is either in the dominating set or adjacent to some node in the dominating set. In this paper, we concentrate on the related problem of ﬁnding a con nected dominating set of minimum size in which the graph induced by nodes in the dominating set are required to be connected. Instead of conventional spanning tree model, we used Steiner tree in unit-disk graph to connect nodes. The main contributions of this work are fully distributed Steiner tree with approximation ratio of 2 and fully dis tributed algorithm for multicast backbone structure with an approximation ratio at most 10. The main advantage of the algorithm is that it simpliﬁes the routing process to one in a smaller subnetwork.

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