A theory of network localization
In this paper, we provide a theoretical foundation for the problem of network localization in which some nodes know their locations and other nodes determine their locations by measuring the distances to their neighbors. We construct grounded graphs to model network localization and apply graph rigidity theory to test the conditions for unique localizability and to construct uniquely localizable networks. We further study the computational complexity of network localization and investigate a subclass of grounded graphs where localization can be computed efficiently. We conclude with a discussion of localization in sensor networks where the sensors are placed randomly.
computer systems organization communication/networking and it mobile computing algorithm/protocol design and analysis architectures theory of computation analysis of algorithms and problem complexity nonnumerical algorithms and problems geometrical problems and computation mathematics of computing discrete mathematics graph theory network problems computer applications mobile applications location-dependent and sensitive wireless sensor networks