Localized Algorithms for Virtual Backbone Formation in Wireless Multi-hop Networks with unidirectional links

A virtual backbone can be utilized in various network optimizations in wireless multi-hop networks. Many distributed algorithms have been proposed for virtual backbone formation in the last decade. However, the assumption of undirected graph as the topology model in most existing work may not hold in real scenarios, where unidirectional links occur for many reasons. Moreover, in most of the existing algorithms, there is dependency among the decisions of different nodes. In this paper, we propose a new localized algorithm for the construction of a virtual backbone by forming a connected dominating and absorbent set. Besides the locality, the proposed algorithm also constructs a virtual backbone of smaller size compared to the existing algorithms.