@Article{ABEG06, author = {Brian D O Anderson and Peter N Belhumeur and Tolga Eren and David K Goldenberg and A Stephen Morse and Walter Whiteley and Y Richard Yang}, title = {Graph Properties of Easily Localizable Networks}, journal = {Wireless Networks}, year = {2006}, abstract = {The sensor network localization problem is one of determining the Euclidean positions of all sensors in a network given knowledge of the Euclidean positions of some, and knowledge of a number of inter-sensor distances. This paper identifies graphical properties which can ensure unique localizability, and, separately, can ensure unique localizability with known effective computational method. Sensor networks with minimal connectedness properties in which sensor transmit powers can be increased to increase the sensing radius lend themselves to the acquiring of the needed graphical properties. Results are presented for networks in both two and three dimensions.} }