On The Complexity Of Fullerenes

AND NANOTUBES 1 Milan Randic, Xiaofeng Guo, Dejan Plavsic and Alexandru T. Balaban

1. Introduction 1

2. On the Complexity of the Complexity Concept 3

3. Complexity and Branching 4

4. Complexity of Smaller Molecules 7

5. Augmented Valence as a Complexity Index 16

6. Complexity of Smaller Fullerenes 20

7. Comparison of Local Atomic Environments 25

8. The Role of Symmetry 29

9. Concluding Remarks on the Complexity of Fullerenes 34

10. On the Complexity of Carbon Nanotubes 36

10.1. Introductory remarks 36

10.2. Helicity of nanotubes 38

Acknowledgement 43

References 44

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