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Identifying the Isomorphism of Kinematic Chains


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1. Chang Z. Zhang C., Yang Y., Wang Y. (2002), A New Method to Mechanism Kinematic Chain Isomorphism Identification, Mechanism and Machine Theory, 37, 411-417.10.1016/S0094-114X(01)00084-2Search in Google Scholar

2. Cubillo J. P., Wan J. (2005), Comments on Mechanism Kinematic Chain Isomorphism Identification Using Adjacent Matrices, Mechanism and Machine Theory, 40, 131-139.10.1016/j.mechmachtheory.2004.07.004Search in Google Scholar

3. Ding H., Hou F., Kecskemethy A., Huang Z. (2011), Synthesis of a complete set of contracted graphs for planar non-fractionated simple-jointed kinematic chains with all possible DOFs, Mechanism and Machine Theory, 46(11), 1588-1600.10.1016/j.mechmachtheory.2011.07.012Search in Google Scholar

4. Ding H., Hou F., Kecskemethy A., Huang Z. (2012) Synthesis of the Whole Family of planar 1-DOF kinematic chains and Creation of Their Atlas Databases, Mechanism and Machine Theory, 47(1), 1-15.10.1016/j.mechmachtheory.2011.08.011Search in Google Scholar

5. Ding H., Huang Z. (2007), The Establishment of the Canonical Perimeter Topological Graph of Kinematic Chains and Isomorphism Identification, Journal of Mechanical Design, 129, 915-923.10.1115/1.2748451Search in Google Scholar

6. Ding H., Huang Z. (2009), Isomorphism Identification of Graphs: Especially for the Graphs of Kinematic Chains, Mechanism and Machine Theory, 44, 122-139.10.1016/j.mechmachtheory.2008.02.008Search in Google Scholar

7. He P. R., Zhang W. J., Li Q. (2005), Some Further Development on the Eigensystem Approach for Graph Detection, Journal of the Franklin Institute, 342, 657-673.10.1016/j.jfranklin.2005.04.006Search in Google Scholar

8. He P. R., Zhang W. J., Li Q., Wu F. X. (2003) A New Method for Detection of Graph Isomorphism Based on the Quadratic Form, Journal of Mechanical Design, 125, 640-642.10.1115/1.1564574Search in Google Scholar

9. Rao A. C, Raju D. (1991), Application of the Hamming Number Technique to Detect Isomorphism Among Kinematic Chains and Inversions, Mechanism and Machine Theory,26, 55-75.10.1016/0094-114X(91)90022-VSearch in Google Scholar

10. Romaniak K. (2010), Generalized Methods of Kinematic Chains Structural Synthesis, International Journal of Applied Mechanics and Engineering, 15(3), 821-829.Search in Google Scholar

11. Romaniak K. (2011), Methods of Structural Synthesis of Mechanisms (in Polish), Wydawnictwo ATH w Bielsku-Białej, Bielsko-Biała.Search in Google Scholar

12. Romaniak K. (2011), Structural Synthesis of Parallel Mechanisms (in Polish), Modelowanie Inżynierskie, 11(42), 359-367.Search in Google Scholar

13. Uicker J. J., Raicu A. (1975), A Method for the Identification Recognition of Equivalence of Kinematic Chains, Mechanism and Machine Theory, 10, 375-383.10.1016/0094-114X(75)90037-3Search in Google Scholar

14. Zeng K., Fan X., Dong M., Yang P. (2014), A fast algorithm for kinematic chain isomorphism identification based on dividing and matching vertices, Mechanism and Machine Theory, 72, 25-38.10.1016/j.mechmachtheory.2013.09.011Search in Google Scholar