Abstract

Mobile Ad Hoc Networks (MANET) are wireless mobile nodes that cooperatively form a network without infrastructure. Because there is no coordination or configuration prior to setup of a MANET, there are several challenges. These challenges include routing packets in an environment where the topology is changing frequently, wireless communications issues, and resource issues such as limited power and storage. Wireless ad hoc network enable new and exciting applications, such as decision making in the battlefield, emergency, search-and-rescue operations, but also pose significant technical challenges. Topology control problems are concerned with which node is able/allowed to communicate with which other nodes. Topology control needs to maintain invariants, e.g., connectivity. This paper considers such problems via minimizing the maximum power and minimizing the total power. In this paper we give a brief overview of topology (arrangement of devices) control problem in wireless ad hoc networks, up to some extent.

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