The union of matroids and the rigidity of frameworks
SIAM Journal on Discrete Mathematics
Conditions for unique graph realizations
SIAM Journal on Computing
An algorithm for two-dimensional rigidity percolation: the pebble game
Journal of Computational Physics
Constraining Plane Configurations in Computer-Aided Design: Combinatorics of Directions and Lengths
SIAM Journal on Discrete Mathematics
The cricket compass for context-aware mobile applications
Proceedings of the 7th annual international conference on Mobile computing and networking
Dynamic fine-grained localization in Ad-Hoc networks of sensors
Proceedings of the 7th annual international conference on Mobile computing and networking
Wireless sensor networks: a survey
Computer Networks: The International Journal of Computer and Telecommunications Networking
Range-free localization schemes for large scale sensor networks
Proceedings of the 9th annual international conference on Mobile computing and networking
Distributed localization in wireless sensor networks: a quantitative comparison
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Wireless sensor networks
Localization for mobile sensor networks
Proceedings of the 10th annual international conference on Mobile computing and networking
Localization from Connectivity in Sensor Networks
IEEE Transactions on Parallel and Distributed Systems
Discrete & Computational Geometry
Certifying and constructing minimally rigid graphs in the plane
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Connected rigidity matroids and unique realizations of graphs
Journal of Combinatorial Theory Series B
A Theory of Network Localization
IEEE Transactions on Mobile Computing
A self-calibrating distributed acoustic sensing platform
Proceedings of the 4th international conference on Embedded networked sensor systems
Wireless sensor network localization techniques
Computer Networks: The International Journal of Computer and Telecommunications Networking
A localization protocol with adaptive power control in wireless sensor networks
Computer Communications
The 2-dimensional rigidity of certain families of graphs
Journal of Graph Theory
Distributed localization for anisotropic sensor networks
ACM Transactions on Sensor Networks (TOSN)
Note: A sufficient connectivity condition for generic rigidity in the plane
Discrete Applied Mathematics
Localization in cooperative Wireless Sensor Networks: A review
CSCWD '09 Proceedings of the 2009 13th International Conference on Computer Supported Cooperative Work in Design
Paired Measurement Localization: A Robust Approach for Wireless Localization
IEEE Transactions on Mobile Computing
Globally rigid circuits of the direction--length rigidity matroid
Journal of Combinatorial Theory Series B
High accuracy localization method using AoA in sensor networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Review: Wireless sensors in agriculture and food industry-Recent development and future perspective
Computers and Electronics in Agriculture
A computational geometry method for localization using differences of distances
ACM Transactions on Sensor Networks (TOSN)
Universal rigidity: towards accurate and efficient localization of wireless networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
Perspective/navigation-The Global Positioning System
IEEE Spectrum
Reducing the number of flips in trilateration with noisy range measurements
Proceedings of the 12th International ACM Workshop on Data Engineering for Wireless and Mobile Acess
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Node self-localization has become an essential requirement for realistic applications over wireless sensor networks (WSNs). Although many distributed localization algorithms have been proposed, fundamental theoretic analysis of unique localization is still in its early stage of development. This paper aims at a synthetic and homogeneous survey of the theoretical basis on WSN localization problem carried out thus far. Specifically, subsequent to establishing a technological context of relevant terms, we construct a graph and then a formation for each WSN to present current state-of-the-art by analyzing possible conditions for unique localization, as well as corresponding verification algorithms, by drawing on the powerful results from rigidity theory, distance geometry, geometric constraints in CAD, and combinatorial theory. We show that the unique localization problem is well understood in two-dimension, however, only partial analogous results are available in three-dimension.