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2-CONNECTIVITY INDEX AND ITS COMPUTATION FOR TWO KINDS OF NANOSTARS<br />

In Table 1, the 2-connectivity indices of NS [ n ] and NS [ n ] arecomputed<br />

1 2<br />

for n=1,…, 10.<br />

Table1. Computing 2-connectivity index for dendrimers NS [ n ] 1 and NS [ n ] 2<br />

n<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

9<br />

10<br />

2-connectuvity index of NS 1 [n]<br />

12.5618<br />

35.5592<br />

81.3740<br />

173.0037<br />

356.2629<br />

722.7814<br />

1455.8000<br />

2921.9000<br />

5854.0000<br />

11718.0000<br />

2-connectuvity index of NS 2 [n]<br />

7.5854<br />

19.3421<br />

42.8553<br />

89.8818<br />

183.9349<br />

372.0410<br />

748.2531<br />

1500.7000<br />

3005.5000<br />

6015.2000<br />

ACKNOWLEDGMENTS<br />

The authors thank professor M. V. Diudea for useful suggestions<br />

during the preparation of this paper. The first author thanks Semnan<br />

University, Semnan, Iran, for the partial support.<br />

REFERENCES<br />

1. K. Yamamoto, M. Higuchi, S. Shiki, M. Tsuruta and H. Chiba, Nature, 2002, 415,<br />

509.<br />

2. M. B. Aahmadi, M. Sadeghmehr, Digest Journal of Nanomaterials and<br />

Biostructures, 2009, 4, 639.<br />

3. M. Randić , Journal of The American Chemical Society, 1975, 97, 6609.<br />

4. A. R. Ashrafi, P. Nikzad, Digest Journal of Nanomaterials and Biostructures,<br />

2009, 4, 269.<br />

5. B. Bollobas, P. Erdos, Ars Combinatorica, 1998, 50, 225.<br />

6. X. Li, I. Gutman, Mathematical Chemistry Monographs, 2006, 1, 330.<br />

7. A. R. Ashrafi, S. Yousefi, MATCH - Communications in Mathematical and in<br />

Computer Chemistry, 2007, 57, 403 .<br />

8. A. R. Ashrafi, S. Yousefi, Nanoscale Res. Lett., 2007, 2, 202.<br />

191

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