Abstract
Energy efficiency is an important issue in the study of wireless sensor networks. The minimum connected sensor cover problem and the maximum lifetime coverage problem are very well known in the literature on energy efficiency. In recent years, there are important developments in the study of these two problems through studying the relationship between the connected sensor cover and the group Steiner tree and the relationship between coverage and weighted dominating set. In this article, we introduce those relationships and related new developments on the minimum connected sensor cover problem and the maximum lifetime coverage problem.
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