Difficult to solve the Euclidean-distance based multi-hop localization, the con- cept of rigid graph with globally rigid graph is introduced, rigid framework theory and graph theory are applied to the wireless sensor networks, the most important issue in multi-hop lo- calization - unique solvability problem is converted into identification of globally rigid graph, and the sufficient and necessary conditions are provided to the globM rigidity identification, the analysis of complex rigid framework of the theory is effectively reduced. Triangular ex- tension method is adopted to gradually build ...