A novel molecular design of polyhedral links and their chiral analysis

Match

Volumn 62, Issue 1, 2009, Pages 115-130

  Cheng, Xiao Sheng ^a   Qiu, Wen Yuan ^b   Zhang, He Ping ^a  

^a LANZHOU UNIVERSITY   (China)

^b LANZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 72149109809     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. H. L. Frisch, E. J. Wassermann, Chemical topology, J. Am. Chem. Soc. 83 (1961) 3789-3795.
2. J. Chen, N. C. Seeman, Synthesis from DNA of a molecule with the connectivity of a cube, Nature 350 (1991) 631-633.
3. N. C. Seeman, DNA in a material world, Nature 421 (2003) 427-431.
4. Y. Zhang, N. C. Seeman, Construction of a DNA-truncated octahedron, J. Am. Chem. Soc. 116 (1994) 1661-1669.
5. C. M. Erben, R. P. Goodman, A. J. Turberfield, A self-assembled DNA bipyramid, J. Am. Chem. Soc. 129 (2007) 6992-6993.
6. F. A. Aldaye, H. F. Sleiman, Modular access to structurally switchable 3D discrete DNA assemblies, J. Am. Chem. Soc. 129 (2007) 13376-13376.
7. F. F. Andersen, B. Knudsen, et al., Assembly and structural analysis of a covalently closed nano-scale DNA cage, Nucleic Acids Res. 36 (2008) 1113-1119.
8. Y. He, T. Ye, M. Su, C. Zhang, A. E. Ribbe, W. Jiang, C. d. Mao, Hierarchical self-assembly of DNA into symmetric supramolecular polyhedra, Nature 452 (2008) 198-202.
9. R. L. Duda, Protein chainmail: catenated protein in viral capsids, Cell 94 (1998) 55-60.
10. N. Jonoska, R. Twarock, Blueprints for dodecahedral DNA cages, J. Phys. A: Math. Theor. 41 (2008) 304043.
11. W. Y. Qiu, X. D. Zhai, Molecular design of Goldberg polyhedral links, J. Mol. Struct. (THEOCHEM) 756 (2005) 163-166.
12. Y. M. Yang, W. Y. Qiu, Molecular design and mathematical analysis of carbon nanotube Links, MATCH Commun. Math. Comput. Chem. 58 (2007) 635-646.
13. W. Y. Qiu, X. D. Zhai, Y. Y. Qiu, Architecture of platonic and Archimedean polyhedral links, Sci. China Ser. B-Chem. 51 (2008) 13-18.
14. G. Hu, W. Y. Qiu, Extended Goldberg polyhedral links with even tangles, MATCH Commun. Math. Comput. Chem. 61 (2009) 737-752.
15. G. Hu, W. Y. Qiu, Extended Goldberg polyhedral links with even tangles, MATCH Commun. Math. Comput. Chem. 61 (2009) 753-766.
16. G. Hu, X. D. Zhai, D. Lu, W. Y. Qiu, The architecture of Platonic polyhedral links, J. Math. Chem. (2008) (DOI 10.1007/sl0910-008-9487-z).
17. P. G. Mezey, Chirality measures and graph representations, Comput. Math. Appl. 34 (1997) 105-112.
18. C. Liang, K. Mislow, A left-right classification of topologically chiral knots, J. Math. Chem. 15 (1994) 35-62.
19. C. Liang, K. Mislow, Topological chirality and achirality of links, J. Math. Chem. 18 (1995) 1-24.
20. C. Liang, K. Mislow, Specification of chirality for links and knots, J. Math. Chem. 19 (1996) 241-263. (Pubitemid 126332469)
21. E. Flapan, When topology meets chemistry-a topological look at molecular chirality, Cambridge University Press, Cambridge, 2000.
22. L. H. Kauffman, A Tutte polynomial for signed graphs, Discrete Appl. Math. 25 (1989) 105-127.
23. L. H. Kauffman, State models and the Jones polynomial, Topology 26 (1987) 395-407.
24. L. H. Kauffman, Statistical mechanics and the Jones polynomial, AMS Contemp. Math. Series 78 (1989) 263-297.
25. L. H. Kauffman, New invariants in knot theory, Amer. Math. Monthly 95 (1988) 195-242.
26. L. H. Kauffman, On Knots, Ann. of Math. Study 115 Princeton University Press, Princeton, NJ (1987).