Energy conservation, coverage and connectivity are three critical application requirements in wireless sensor networks. Related researches have either concerned coverage, connectivity, and energy conservation separately or required sensing/communication range restrictions. In this paper, we aim to maximize the network lifetime, while maintaining coverage and connectivity simultaneously, without any sensing or communication range restriction. We propose MDS-MCC problem and we prove it is NP-complete. We also present a heuristic algorithm to solve MDS-MCC. Furthermore, we study MDS-MCC problem under some special conditions and obtain some important theoretical results.
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