ABSTRACT
Locations of nodes are essential in several applications of wireless ad hoc and sensor networks, because the information gathered by sensor nodes are often meaningful and helpful when the locations of received information are available. This chapter explores the conditions of unique localizability of networks, in which cooperative localization is implemented. Localizability has been used in the localization process of sensor networks in real applications. The connection between localizability of networks and the concept of graph rigidity was provided. Rigidity, and in particular global rigidity, is associated with unique localizability of wireless ad hoc and sensor networks. Various applications of rigidity and global rigidity exist in the literature. The real-world data comes from a wireless sensor network system built to collect ecological information in a forest. In such a system, energy plays a central role for the success of the entire system.
