journal article·2016-06-02

An algebraic study of non classical fullerenes

Modjtaba Ghorbani, Mardjan Hakimi-Nezhaad

Publisher page

Abstract

The Wiener index is the oldest topological index based on the sum of distances between any pair of vertices in given graph. An algebraic approach for generalizing the Wiener index was proposed by Graovać and Pisanski for the first time. In this paper, we compute the modified Wiener index and then the differences between Wiener and modified Wiener indices of an infinite class of non-classical fullerenes.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Graph theory and applications · Fullerene Chemistry and Applications · History and advancements in chemistry

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (23)

Show source-provided references
1. 10.1021/ja01193a00510.1021/ja01193a005 ↗
2. 10.1021/ci960139m10.1021/ci960139m ↗
3. Gutman I. · Z. Naturforsch. · 1991 · 46 · 86510.1515/znb-1991-0705 ↗
4. 10.1021/ci00023a00710.1021/ci00023a007 ↗
5. Ghorbani M. · Studia Ubb Chemia LVIII · 2013 · 1 · 43−50
6. Ghorbani M. · Ars. Combin.
7. 10.1007/BF0116692310.1007/BF01166923 ↗
8. Firouzian S. · Studia Universitatis Babes-Bolyai, Chemia · 2014 · 59 · 163
9. Hakimi-Nezhaad M. · J. Math. NanoSci. · 2014 · 4 · 19
10. Harary, F. (1969)Graph Theory. Addison-Wesley: Reading, Massachusetts, pp. 33−37.10.21236/AD0705364 ↗
11. 10.1038/318162a010.1038/318162a0 ↗
12. Fowler P. W. · 1995
13. Graver J. E. · DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 69 Amer. Math. Soc. · 2005
14. Behmaram, A. (2013)Matching in Fullerene and Molecular Graphs, Ph.D. thesis, University of Tehran.
15. 10.1080/0892702090348326210.1080/08927020903483262 ↗
16. 10.1021/ci049955h10.1021/ci049955h ↗
17. Deza M. · Southeast Asian Bull. Math. · 2005 · 29 · 301−320
18. 10.1007/s11224-012-0005-310.1007/s11224-012-0005-3 ↗
19. 10.1107/S010876731002293210.1107/S0108767310022932 ↗
20. Ghorbani M. · Iranian J. Math. Chem. · 2010 · 1 · 105
21. Ghorbani M. · J. Math. Nanosci. · 2013 · 3 · 33
22. 10.1007/s10910-006-9061-510.1007/s10910-006-9061-5 ↗
23. 10.1016/0009-2614(92)86020-I10.1016/0009-2614(92)86020-I ↗