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Metric Properties of Factor Space of Molecular Shapes

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Abstract

Molecular shape equivalence classes defined with respect to equivalence of geometrical and topological properties are represented by logical models. Consequently, the factor space of molecular shapes is provided by a metric useful in shape comparisons.

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References

  1. A. Frolov, E. Jako and P.G. Mezey, J. Mathematical Chemistry (30) (2001) 389–409.

    Google Scholar 

  2. P.G. Mezey, Shape in Chemistry: An Introduction to Molecular Shape Topology (VCH, UK, 1993).

    Google Scholar 

  3. R. Lidl and G. Pilz, Applied Abstract Algebra (Springer, 1984).

  4. A. Mishchenko and A. Fomenko, A Course of Differential Geometry and Topology (Mir, Moscow, 1988).

    Google Scholar 

  5. I.A. Chegis and S.V. Yablonsky, Trudy Mat. Inst. Steklov. 51 (1958) 5 (in Russian).

    Google Scholar 

  6. E.J. McCluskey, Logic Design Principles (Prentice-Hall, Englewood Cliff, NJ, 1986).

    Google Scholar 

  7. A.B. Frolov, Models and Methods of Technical Diagnostics (Znanie, Moscow, 1990) (in Russian).

    Google Scholar 

  8. E. Jako and P. Ittzés, Abstracta Botanica 22 (1998) 121.

    Google Scholar 

  9. S.V. Yablonsky, Introduction to Discrete Mathematics (Mir, Moscow, 1988).

    Google Scholar 

  10. A.E. Andreev, A.A. Bolotov and A.B. Frolov, Discrete Mathematics: Discrete Optimisation Problems and Complexity of Algorithms (MPEI Publisher, Moscow, 2000).

    Google Scholar 

  11. A.V. Aho, J.E. Hopcroft and J.D. Ulman, The Design and Analysis of Computer Algorithms (Addison-Wesley, Reading, MA, 1976).

    Google Scholar 

  12. A.A. Bolotov and A. Shajeb, Dokl. Akad. Nauk (1987) 297; 3 (1987) 527 (in Russian).

  13. A.A. Bolotov, Diskret. Mat. 8(4) (1996) 62 (in Russian).

    Google Scholar 

  14. A.A. Bolotov and A.B. Frolov, Classification and Recognition in Discrete Systems (MPEI, Moscow, 1997) (in Russian).

    Google Scholar 

  15. G.A. Arteca and P.G. Mezey, Internat. J. Quantum Chem. 34 (1988) 517.

    Google Scholar 

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Authors and Affiliations

  1. Moscow Power Engineering Institute (Technical University), Chusovskaya, 11-7-8, Moscow, 107203, Russia

    A. Frolov

  2. Department of Plant Taxonomy and Ecology, Eötvös Loránd University, Tompa u. 17, Budapest, 1211, Hungary

    E. Jako

  3. Department of Chemistry and Department of Mathematics and Statistics, University of Saskatchewan, 110 Science Place, Saskatoon, SK, S7N 5C9, Canada

    P.G. Mezey

Authors
  1. A. Frolov
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  2. E. Jako
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  3. P.G. Mezey
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Correspondence to P.G. Mezey.

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Frolov, A., Jako, E. & Mezey, P. Metric Properties of Factor Space of Molecular Shapes. Journal of Mathematical Chemistry 30, 411–428 (2001). https://doi.org/10.1023/A:1015142527070

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  • DOI: https://doi.org/10.1023/A:1015142527070

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