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GEOMETRIC−ARITHMETIC INDEX: AN ALGEBRAIC APPROACH on E(DNS 2 [n]) and use a similar method as given the case 1. Notice that in this case the automorphism group Aut(DNS 2 [n]) is isomorphic to the wreath product Z 2 ~ Z 2 , where Z 2 acts on the set Z = {1, 2, …, 2 n −1}. ACKNOWLEDGEMENT The authors are thankful from the referee for some helpful remarks. The research of one of us (A R Ashrafi) is partially supported by Iran National Science Foundation (INSF) (Grant No. 87041993). REFERENCES 1. L.B. Kier and L.H. Hall, Molecular Connectivity in Chemistry and Drug Research, Research Studies Press, Latchworth, 1976. 2. I. Gutman, N. Gavrilović, D. Banković, P.V. Khadikar, N.V. Deshpande and P.P. Kale, J. Serb. Chem. Soc., 1994, 59, 519. 3. P.V. Khadikar, I. Lukovits, V.K. Agrawal, S. Shrivastava, M. Jaiswal, I. Gutman, S. Karmarkar and A. Shrivastava, Indian J. Chem., 2003, 42A, 1436. 4. H. Hosoya, Bull. Chem. Soc. Jpn., 1971, 44, 2332. 5. E. Buhleier, W. Wehner and F. Vogtle, Synthesis, 1978, 2, 155. 6. D.A. Tomalia, H. Baker, J. Dewald, M. Hall, G. Kallos, S. Martin, J. Roeck, J. Ryder and P. Smith, Polym. J., 1985, 17, 117. 7. G.R. Newkome, C.N. Moorefield and F. Vogtle, Dendrimers and Dendrons, Wiley−VCH, Weinheim, 2002. 8. D. Vukičević and B. Furtula, J. Math. Chem., 2009, 46, 1369. 9. Y. Yuan, B. Zhou and N. Trinajstić, J. Math. Chem., 2009, 47, 833. 10. K.C. Das, I. Gutman and B. Furtula, MATCH Commun. Math. Comput. Chem., 2011, 65, 595. 11. H. Hua and S. Zhang, MATCH Commun. Math. Comput. Chem., 2011, 65, 691. 12. Z. Tang and Y. Hou, MATCH Commun. Math. Comput. Chem., 2011, 65, 705 13. G.H. Fath-Tabar, B. Furtula and I. Gutman: J. Math. Chem., 2010, 47, 477. 14. M. Ghorbani and M. Jalali, Dig. J. Nanomat. Bios., 2009, 4, 681. 15. M. Ghorbani, Optoelectron. Adv. Mater.− Rapid Commun., 2010, 4, 261. 16. M. Gorbani and A. Zaeembashi, Optoelectron. Adv. Mater.− Rapid Commun., 2010, 4, 1415. 17. B. Furtula and I. Gutman, in: I. Gutman and B. Furtula (Eds.), Novel Molecular Structure Descriptors – Theory and Applications I, Univ. Kragujevac, Kragujevac, 2010, pp. 137. 18. K. Das, I. Gutman, B. Furtula, MATCH Commun. Math. Comput. Chem., 2010, 65, 595. 19. A.R. Ashrafi and M. Mirzargar, Indian J. Chem., 2008, 47A, 538. 20. A. Karbasioun and A.R. Ashrafi, Maced. J. Chem. Chem. Eng., 2009, 28, 49. 111
HOSSEIN SHABANI, ALI REZA ASHRAFI, IVAN GUTMAN 21. A. Karbasioun, A.R. Ashrafi and M.V. Diudea, MATCH Commun. Math. Comput. Chem., 2010, 63, 239. 22. A. Karbasioun, A.R. Ashrafi and M.V. Diudea, MATCH Commun. Math. Comput. Chem., 2011, 65, 193. 23. S. Yousefi, H. Yousefi-Azari, A.R. Ashrafi and M.H. Khalifeh, J. Sci. Univ. Tehran, 2007, 33, 7. 24. M.R. Darafsheh, Acta Appl. Math., 2010, 110, 1225. 25. M.R. Darafsheh and A. Darafsheh, MATCH Commun. Math. Comput. Chem., 2006, 56, 271. 26. M.R. Darafsheh, Y. Farjami and A.R. Ashrafi, MATCH Commun. Math. Comput. Chem., 2005, 54, 53. 112
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CHEMIA 4/2010
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L.M. PĂCUREANU, A. BORA, L. CRIŞA
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Studia Universitatis Babes-Bolyai C
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MIRCEA V. DIUDEA theorem in multi-s
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MIRCEA V. DIUDEA 4. M.V. Diudea, Cs
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STUDIA UBB. CHEMIA, LV, 4, 2010 DIA
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DIAMOND D 5 , A NOVEL ALLOTROPE OF
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MONICA L. POP, MIRCEA V. DIUDEA AND
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STUDIA UBB. CHEMIA, LV, 4, 2010 EVA
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EVALUATION OF THE ANTIOXIDANT CAPAC
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STUDIA UBB. CHEMIA, LV, 4, 2010 TO
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TO WHAT EXTENT THE NMR “MOBILE PR
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STUDIA UBB. CHEMIA, LV, 4, 2010 APP
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APPLICATION OF NUMERICAL METHODS IN
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APPLICATION OF NUMERICAL METHODS IN
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VLADIMIR R. ROSENFELD, DOUGLAS J. K
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MAHDIEH AZARI, ALI IRANMANESH, ABOL
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MAHSA GHAZI, MODJTABA GHORBANI, KAT
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MAHSA GHAZI, MODJTABA GHORBANI, KAT
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M. GHORBANI, M. A. HOSSEINZADEH, M.
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MONICA STEFU, VIRGINIA BUCILA, M. V
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MONICA STEFU, VIRGINIA BUCILA, M. V
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MAHBOUBEH SAHELI, RALUCA O. POP, MO
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MAHBOUBEH SAHELI, RALUCA O. POP, MO
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FARZANEH GHOLAMI-NEZHAAD, MIRCEA V.
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MAHBOUBEH SAHELI, MIRCEA V. DIUDEA
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MAHBOUBEH SAHELI, ALI REZA ASHRAFI,
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STUDIA UBB. CHEMIA, LV, 4, 2010 OME
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OMEGA POLYNOMIAL IN CRYSTAL-LIKE NE
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OMEGA POLYNOMIAL IN CRYSTAL-LIKE NE
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STUDIA UBB. CHEMIA, LV, 4, 2010 CLU
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CLUJ CJ POLYNOMIAL AND INDICES IN A
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ALI REZA ASHRAFI, ASEFEH KARBASIOUN
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POPA IULIANA, DRAGOŞ ANA, VLĂTĂN
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ALI IRANMANESH, YASER ALIZADEH, SAM
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KLAUDIA KOVÁCS, ANDRÁS HOLCZINGER
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DIÁNA WEISER, ANNA TOMIN, LÁSZLÓ
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P. FALUS, Z. BOROS, G. HORNYÁNSZKY
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L. VLASE, M. PÂRVU, A. TOIU, E. A.
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LAURIAN VLASE, DANA MUNTEAN, MARCEL
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CRISTINA BISCHIN, VICENTIU TACIUC,
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MIRCEA V. DIUDEA CONCLUSIONS The re
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