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Enumeration of perifusenes with one internal vertex: A complete mathematical solution

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Abstract

Simply connected polyhexes with one internal vertex (n; = 1 perifusenes) are enumerated. Complete mathematical solutions are given in terms of summation formulas and by generating functions. The symmetry is accounted for. The numerical results are used to derive numbers of simply connected helicenic (geometrically nonplanar) polyhexes withn i = 1.

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References

  1. F. Harary and R.C. Read, Proc. Edinburgh Math. Soc. Ser. II 17 (1970)1.

    Google Scholar 

  2. S.J. Cyvin, J. Brunvoll and B.N. Cyvin, J. Math. Chem. 9 (1992)19.

    Google Scholar 

  3. A.T. Balaban and F. Harary, Tetrahedron 24 (1968)2505.

    Google Scholar 

  4. S. Nikolić, N. Trinajstić, J.V. Knop, W.R. Müller and K. Szymanski, J. Math. Chem. 4 (1990)357.

    Google Scholar 

  5. G. Pólya and R.C. Read,Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds (Springer, New York, 1987).

    Google Scholar 

  6. B.N. Cyvin, J. Brunvoll and S.J. Cyvin, Topics in Current Chemistry 162 (1992)65.

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Authors and Affiliations

  1. Division of Physical Chemistry, The University of Trondheim, N-7034, Trondheim-NTH, Norway

    S. J. Cyvin, Fuji Zhang & J. Brunvoll

Authors
  1. S. J. Cyvin
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  2. Fuji Zhang
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  3. J. Brunvoll
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Additional information

This project was supported by NSFC.

On leave from: Department of Mathematics, Xinjiang University, Wulumuqi, Xinjiang 830046, P.R. China.

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Cyvin, S.J., Zhang, F. & Brunvoll, J. Enumeration of perifusenes with one internal vertex: A complete mathematical solution. J Math Chem 11, 283–292 (1992). https://doi.org/10.1007/BF01164209

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  • DOI: https://doi.org/10.1007/BF01164209

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