Minimum-Latency Gossiping in Multi-hop Wireless Networks

We studied the minimum-latency gossiping (all-to-all broadcast) problem in multi-hop wireless networks defined as follows. Each node in the network is initially given a message and the objective is to design a minimum-latency schedule such that each node distributes its message to all other nodes. We considered the unit-size message model, in which different messages cannot be combined as one message, and the unit disk graph model, in which a link exists between two nodes if and only if their Euclidean distance is less than 1. This problem is known to be NP-hard in such models. In this work we designed a gossiping scheme that significantly improved all current gossiping algorithms in terms of approximation ratio. Our work has approximation ratio 27, a great improvement of the current state-of-the-art algorithm (which has ratio 1000+).