Connected rigidity matroids and unique realizations of graphs
Journal of Combinatorial Theory Series B
A Theory of Network Localization
IEEE Transactions on Mobile Computing
Wireless sensor network localization techniques
Computer Networks: The International Journal of Computer and Telecommunications Networking
Note: A sufficient connectivity condition for generic rigidity in the plane
Discrete Applied Mathematics
Operations preserving the global rigidity of graphs and frameworks in the plane
Computational Geometry: Theory and Applications
Fully Decentralized, Collaborative Multilateration Primitives for Uniquely Localizing WSNs
WASA '09 Proceedings of the 4th International Conference on Wireless Algorithms, Systems, and Applications
Globally rigid circuits of the direction--length rigidity matroid
Journal of Combinatorial Theory Series B
Advanced form-finding of tensegrity structures
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ACC'09 Proceedings of the 2009 conference on American Control Conference
Fully decentralized and collaborative multilateration primitives for uniquely localizing WSNs
EURASIP Journal on Wireless Communications and Networking - Special issue on wireless network algorithms, systems, and applications
Graphical properties of easily localizable sensor networks
Wireless Networks
An as-rigid-as-possible approach to sensor network localization
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
Sensor network localization using sensor perturbation
ACM Transactions on Sensor Networks (TOSN)
Formal Theory of Noisy Sensor Network Localization
SIAM Journal on Discrete Mathematics
Uniqueness of Low-Rank Matrix Completion by Rigidity Theory
SIAM Journal on Matrix Analysis and Applications
On the number of solutions of the discretizable molecular distance geometry problem
COCOA'11 Proceedings of the 5th international conference on Combinatorial optimization and applications
Universal Rigidity and Edge Sparsification for Sensor Network Localization
SIAM Journal on Optimization
The rigidity transition in random graphs
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
Towards Unique and Anchor-Free Localization for Wireless Sensor Networks
Wireless Personal Communications: An International Journal
GPS-free directional localization via dual wireless radios
Computer Communications
The discretizable molecular distance geometry problem
Computational Optimization and Applications
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
Time-bounded essential localization for wireless sensor networks
IEEE/ACM Transactions on Networking (TON)
Generic global rigidity of body-bar frameworks
Journal of Combinatorial Theory Series B
On the number of realizations of certain Henneberg graphs arising in protein conformation
Discrete Applied Mathematics
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Suppose a finite configuration of labeled points p = (p1,. . . ,pn) in Ed is given along with certain pairs of those points determined by a graph G such that the coordinates of the points of p are generic, i.e., algebraically independent over the integers. If another corresponding configuration q = (q1,. . . ,qn) in Ed is given such that the corresponding edges of G for p and q have the same length, we provide a sufficient condition to ensure that p and q are congruent in Ed. This condition, together with recent results of Jackson and Jordán, give necessary and sufficient conditions for a graph being generically globally rigid in the plane.