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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 41 Issue: 4

Some Distance-Based Topological Indices of a Non-Commuting Graph ABSTRACT | FULL TEXT

M. Mirzargar
a.r. Ashrafi
Sayfa
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Yayın Tarihi
2012-04-01
DOI
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Mirzargar, M., Ashrafi, A. (2012). Some Distance-Based Topological Indices of a Non-Commuting Graph ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Volume: 41 Issue: 4. https://ajindex.com/articles/1403540

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Kaynakça (29)

  1. Abdollahi, A., Akbari, S. and Maimani, H. R. Non-commuting graph of a group, J. Algebra 298, 468–492, 2006.
  2. Ashrafi, A. R., Doˇsli´c, T. and Hamzeh, A. The Zagreb coindices of graph operations, Discrete Appl. Math. 158, 1571–1578, 2010.
  3. Ashrafi, A. R., Doˇsli´c, T. and Saheli, M. The eccentric connectivity index of TUC4C8(R) nanotubes, MATCH Commun. Math. Comput. Chem. 65, 221–230, 2011.
  4. Ashrafi, A. R., Saheli, M. and Ghorbani, M. The eccentric connectivity index of nanotubes and nanotori, J. Comput. Appl. Math. 235, 4561–4566, 2011.
  5. Azad, A. and Eliasi, M. Distance in the non-commutative graph of groups, Ars Combinato- ria, in press.
  6. Buckley, F. and Harary, F. Distances in Graphs (Addison-Wesley, Redwood City, CA, 1990). [7] Darafsheh, M. R. and Poursalavati, N. S. On the existence of the orthogonal basis of the symmetry classes of tensors associated with certain groups, SUT J. Math. 37 (1), 1–17, 2001.
  7. Ghorbani, M., Ashrafi, A. R. and Hemmasi, M. Eccentric connectivity polynomials of fullerenes, Optoelectron. Adv. Mater. -Rapid Comm. 3 (12), 1306–1308, 2009.
  8. Gutman, I. Selected properties of the Schultz molecular topological index, J. Chem. Inf. Comput. Sci. 34, 1087–1089, 1994.
  9. Gutman, I. and Trinajsti´c, N. Graph theory and molecular orbitals, Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17, 535–538, 1972.
  10. Gutman, I. A formula for the Wiener number of trees and its extension to graphs containing cycles, Graph Theory Notes of New York 27, 9–15, 1994.
  11. Gutman, I. and Das, K. C. The first Zagreb index 30 years after, MATCH Commun. Math. Comput. Chem. 50, 83–92, 2004.
  12. Gutman, I., Yan, W., Yeh, Y. -N. and Yang, B. -Y. Generalized Wiener indices of zigzagging pentachains, J. Math. Chem. 42, 103–117, 2007.
  13. Isaacs, I. M. Coprime group actions fixing all nonlinear irreducible characters, Canad. J. Math. 41, 68–82, 1989.
  14. James, G. and Liebeck, M. Representations and Characters of Groups (Second edition, Cambridge Univ. Press, New York, 2001).
  15. Khalifeh, M. H., Yousefi-Azari, H. and Ashrafi, A. R. The first and second Zagreb indices of some graph operations, Discrete Appl. Math. 157, 804–811, 2009.
  16. Klein, D. J., Lukovits, I. and Gutman, I. On the definition of the hyper-Wiener index for cycle-containing structures, J. Chem. Inf. Comput. Sci. 35, 50-ˆu52, 1995.
  17. Kumar, V., Sardana, S. and Madan, A. K. Predicting anti-HIV activity of 2,3-diaryl-1,3- thiazolidin-4-ones: computational approaches using reformed eccentric connectivity index, J. Mol. Model. 10, 399-ˆu407, 2004.
  18. Moghaddamfar, A. R. About noncommuting graphs, Siberian Mathematical Journal 47, 911– 914, 2006.
  19. Neumann, B. H. A problem of Paul Erd¨os on groups, J. Aust. Math. Soc. Ser. A 21, 467–472, 1976.
  20. Riedl, J. M. Character degrees, class size, and normal subgroups of a certain class of p- groups, J. Algebra 218 (1), 190–215, 1999.
  21. Rocke, D. M. p-groups with abelian centralizers, Proc. London Math. Soc. 30 (3), 55–75, 1975.
  22. Sardana, S. and Madan, A. K. Application of graph theory: Relationship of molecular con- nectivity index, WienerÆs index and eccentric connectivity index with diuretic activity, MATCH Commun. Math. Comput. Chem. 43, 85ˆu-98, 2001.
  23. Schultz, H. P. Topological organic chemistry 1. Graph theory and topological indices of Alka- nes, J. Chem. Inf. Comput. Sci. 29, 227–228, 1989.
  24. Sharma, V., Goswami, R. and Madan, A. K. Eccentric connectivity index: A novel highly discriminating topological descriptor for structure-property and structure-activity studies, J. Chem. Inf. Comput. Sci. 37, 273–282, 1997.
  25. Wiener, H. Structural determination of the paraffin boiling points, J. Am. Chem. Soc. 69, 17–20, 1947.
  26. West, D. B. Introduction to Graph Theory (Prentice-Hall, Upper Saddle River, NJ, 1996). [28] Zhou, B. Zagreb indices, MATCH Commun. Math. Comput. Chem. 52, 113–118, 2004.
  27. Zhou, B. and Du, Z. On eccentric connectivity index, MATCH Commun. Math. Com- put. Chem. 63, 181–198, 2010.
  28. Zhou, B. and Gutman, I. Relations between Wiener, hyper-Wiener and Zagreb indices, Chem. Phys. Lett. 394, 93–95, 2004.
  29. Zhou, B. and Gutman, I. Further properties of Zagreb indices, MATCH Commun. Math. Comput. Chem. 54, 233–239, 2005.