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We study the minimum range assignment problem that consists in finding the range assignment that minimizes energy consumption in the network. We exhibit one bad behavior of classical graph reduction-based approaches: they only consider the sum of edges' weight as an optimization criterion. We then design a new graph reduction algorithm (the minimum power tree protocol) and its associated topology control algorithm (the incremental power topology control protocol). After proposing a local version of the protocol, we evaluate and compare their performance of these two protocols to the studied classical reduction-based approaches.
Date of Conference: 13-16 Sept. 2009