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Recent work has shown that it is sometimes feasible to significantly reducethe energy usage of some radio-network algorithms by adaptively powering downthe radio receiver when it is not needed. Although past work has focused onmodifying specific network algorithms in this way, we now ask the question ofwhether this problem can be solved in a generic way, treating the algorithm asa kind of black box.  We are able to answer this question in the affirmative, presenting a newgeneral way to modify arbitrary radio-network algorithms in an attempt to saveenergy. At the expense of a small increase in the time complexity, we canprovably reduce the energy usage to an extent that is provably nearly optimalwithin a certain class of general-purpose algorithms.  As an application, we show that our algorithm reduces the energy cost ofbreadth-first search in radio networks from the previous best bound of$2^{O(\sqrt{\log n})}$ to $\mathrm{polylog}(n)$, where $n$ is the number ofnodes in the network  A key ingredient in our algorithm is hierarchical clustering based onadditive Voronoi decomposition done at multiple scales. Similar clusteringalgorithms have been used in other recent work on energy-aware computation inradio networks, but we believe the specific approach presented here may be ofindependent interest.

How to Wake Up Your Neighbors: Safe and Nearly Optimal Generic Energy Conservation in Radio Networks