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1 Introduction
Part 1 Topological Structure Analysis
2 Basic Concepts of Graphs of Kinematic Chains
3 Unified Graph Model of Planar Kinematic chains
4 Loop Algebra of Kinematic Chains
5 Unified Isomorphism Detection for Planar Kinematic Chains
6 Unified Rigid Sub-chain Detection for Planar Kinematic Chains
Part 2 Topological Structure Synthesis
7 Structural Synthesis of Contracted Graphs of Kinematic Chains
8 Structural Synthesis of Simple Joint Kinematic Chains
9 Automatic Sketching of Planar Kinematic Chains
10 Automatic Synthesis of Inversions of Kinematic Chains
11 Structural Synthesis of Fractionated Kinematic Chains
12 Automatic Synthesis of Kinematic Chains with Prismatic Pairs
13 Automatic Synthesis of Planar Multiple Joint Kinematic Chains
14 Automatic Synthesis of Planetary Gear Trains
Part 3 Conceptual Creative Design of Mechanisms
15 Automatic Computation of Connectivity in Kinematic Chains
16 Conceptual Creative Design of Mechanisms
Appendix A Contracted graphs with six independent loops.

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