XTC: a practical topology control algorithm for ad-hoc networks

Abstract
The XTC ad-hoc network topology control algorithm intro- duced in this paper shows three main advantages over previously proposed algorithms. First, it is extremely simple and strictly lo- cal. Second, it does not assume the network graph to be a Unit Disk Graph; XTC proves correct also on general weighted net- work graphs. Third, the algorithm does not require availability of node position information. Instead, XTC operates with a general notion of order over the neighbors' link qualities. In the special case of the network graph being a Unit Disk Graph, the resulting topology proves to have bounded degree, to be a planar graph, and—on average-case graphs—to be a good spanner.

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