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Spectral moments of polymer graphs

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Summary

It is shown that for anyk, thekth spectral moment of a polymer graph composed ofn monomer units is an exact linear function of the parametern. This linear relation holds for all values ofn, greater than a critical value ξ0=ξ0(k).

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References

  1. Hall GG (1995) Proc Roy Soc London A229:25

    Google Scholar 

  2. Marcus RA (1965) J Chem Phys 43:2643

    Google Scholar 

  3. Gutman I, Trinajstić N (1972) Chem Phys Lett 17:535

    Google Scholar 

  4. Gutman I, Trinajstić N (1973) Chem Phys Lett 20:257

    Google Scholar 

  5. Jiang YS, Tang AC, Hoffmann R (1984) Theor Chim Acta 66:183

    Google Scholar 

  6. Kiang YS, Tang AC (1986) Int J Quantum Chem 29:229

    Google Scholar 

  7. Schmalz TG, Zivković T, Klein DJ (1988) Studies Phys Theor Chem 54:173

    Google Scholar 

  8. Jiang Y, Zhang H (1989) Theor Chim Acta 75:279

    Google Scholar 

  9. Jiang Y, Zhang H (1989) J Math Chem 3:357

    Google Scholar 

  10. Jiang Y, Zhu H, Gutman I (1989) Chem Phys Lett 159:159

    Google Scholar 

  11. Gutman I, Hall GG, Marković S, Stanković Z, Radivojević V (1991) Polycylic Arom Comp 2:275

    Google Scholar 

  12. Babić D, Graovac A, Gutman I (1991) Theor Chim Acta 79:403

    Google Scholar 

  13. Gutman I (1992) Theor Chim Acta 83:313

    Google Scholar 

  14. Hall GG, Gutman I (1992) Int J Quantum Chem 41:667

    Google Scholar 

  15. Burdett JK, Lee S, Sha WS (1984) Croat Chem Acta 57:1193

    Google Scholar 

  16. Burdett JK, Lee S (1985) J Am Chem Soc 107:3050

    Google Scholar 

  17. Burdett JK, Lee S (1985) J Am Chem Soc 107:3063

    Google Scholar 

  18. Burdett JK, Lee S, McLarnan TJ (1985) J Am Chem Soc 107:3083

    Google Scholar 

  19. Burdett JK (1987) Struct Bonding 65:29

    Google Scholar 

  20. Pick S (1988) Coll Czechoslovak Chem Commun 53:1607

    Google Scholar 

  21. Flory PJ (1969) Statistical mechanics of chain molecules. Interscience, New York

    Google Scholar 

  22. Domb C, Green MS (eds.) (1972) Phase transitions and critical phenomena. Academic Press, London

    Google Scholar 

  23. McQuarrie DA (1975) Statistical mechanics. Harper and Row, New York

    Google Scholar 

  24. Stauffer D (1985) Introduction to percolation theory. Taylor and Francis, London

    Google Scholar 

  25. Balasubramanian K, Ramaraj R (1985) J Comput Chem 6:447

    Google Scholar 

  26. Hosoya H, Motoyama A (1985) J Math Phys 26:157

    Google Scholar 

  27. Dias JR (1985) Theor Chim Acta 68:107

    Google Scholar 

  28. Hall GG (1986) Theor Chim Acta 70:323

    Google Scholar 

  29. Marković S, Gutman I (1991) J Mol Struct (Theochem) 235:81

    Google Scholar 

  30. Marković S (1992) Theor Chim Acta 81:237

    Google Scholar 

  31. Jiang Y, Qian X, Shao Y (1995) Theor Chim Acta 90:135

    Google Scholar 

  32. Khadikar PV, Deshpande NV, Kale PP, Gutman I (1994) J Chem Inform Comput Sci 34:1181

    Google Scholar 

  33. The results mentioned in the section “Generalizations and extensions” were suggested by the anonymous referee (August 1995)

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Authors and Affiliations

  1. Institute of Physical Chemistry, Attila Jozsef University, P.O. Box 105, H-6701, Szeged, Hungary

    Ivan Gutman

  2. Department of Chemistry, Technion, 32000, Haifa, Israel

    Vladimir R. Rosenfeld

Authors
  1. Ivan Gutman
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  2. Vladimir R. Rosenfeld
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on leave from Faculty of Science, University of Kragujevac

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Gutman, I., Rosenfeld, V.R. Spectral moments of polymer graphs. Theoret. Chim. Acta 93, 191–197 (1996). https://doi.org/10.1007/BF01113352

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  • DOI: https://doi.org/10.1007/BF01113352

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