International Journal of Chemical and Biomolecular Science
Articles Information
International Journal of Chemical and Biomolecular Science, Vol.1, No.1, Jun. 2015, Pub. Date: Jun. 10, 2015
Certain General Zagreb Indices and Zagreb Polynomials of Molecular Graphs
Pages: 1-5 Views: 3219 Downloads: 1106
Authors
[01] Yun Gao, Department of Editorial, Yunnan Normal University, Kunming, China.
[02] Wei Gao, School of Information Science and Technology, Yunnan Normal University, Kunming, China.
[03] Li Liang, School of Information Science and Technology, Yunnan Normal University, Kunming, China.
Abstract
Chemical compounds and drugs are often modelled as graphs where each vertex represents an atom of molecule, and covalent bounds between atoms are represented by edges between the corresponding vertices. This graph derived from a chemical compounds is often called its molecular graph, and can be different structures. In this paper, by virtue of mathematical derivation, we determine the fourth, fifth and sixth general Zagreb indices and Zagreb polynomials of fan molecular graph, wheel molecular graph, and gear fan molecular graph, gear wheel molecular graph, and their r-corona molecular graphs. The results obtained in our paper illustrate the promising application prospects for chemistry and pharmacy science.
Keywords
Chemical Graph Theory, General Zagreb Index, Zagreb Polynomial, R-Corona Molecular Graph
References
[01] L. Yan, Y. Li, W. Gao, J. S. Li, On the extremal hyper-wiener index of graphs, Journal of Chemical and Pharmaceutical Research, 2014, 6(3): 477-481.
[02] L. Yan, W. Gao, J. S. Li, General harmonic index and general sum connectivity index of polyomino chains and nanotubes, Journal of Computational and Theoretical Nanoscience, In press.
[03] W. Gao, L. Liang, Y. Gao, Some results on wiener related index and shultz index of molecular graphs, Energy Education Science and Technology: Part A, 2014, 32(6): 8961-8970.
[04] W. Gao, L. Liang, Y. Gao, Total eccentricity, adjacent eccentric distance sum and Gutman index of certain special molecular graphs, The Bio Technology: An Indian Journal, 2014, 10(9): 3837-3845.
[05] W. Gao, L. Shi, Wiener index of gear fan graph and gear wheel graph, Asian Journal of Chemistry, 2014, 26(11): 3397-3400.
[06] W. Gao, W. F. Wang, Second atom-bond connectivity index of special chemical molecular structures, Journal of Chemistry, Volume 2014, Article ID 906254, 8 pages, http://dx.doi.org/10.1155/2014/906254.
[07] W. F. Xi, W. Gao, Geometric-arithmetic index and Zagreb indices of certain special molecular graphs, Journal of Advances in Chemistry, 2014, 10(2): 2254-2261.
[08] W. F. Xi, W. Gao, λ-Modified extremal hyper-Wiener index of molecular graphs, Journal of Applied Computer Science & Mathematics, 2014, 18 (8): 43-46.
[09] W. F. Xi, W. Gao, Y. Li, Three indices calculation of certain crown molecular graphs, Journal of Advances in Mathematics, 2014, 9(6): 2696-2304.
[10] Y. Gao, W. Gao, L. Liang, Revised Szeged index and revised edge Szeged index of certain special molecular graphs, International Journal of Applied Physics and Mathematics, 2014, 4(6): 417-425.
[11] J. A. Bondy, U. S. R. Mutry, Graph Theory, Spring, Berlin, 2008.
[12] W. Gao, The fourth geometric-arithmetic index of benzenoid series, In press.
600 ATLANTIC AVE, BOSTON,
MA 02210, USA
+001-6179630233
AIS is an academia-oriented and non-commercial institute aiming at providing users with a way to quickly and easily get the academic and scientific information.
Copyright © 2014 - American Institute of Science except certain content provided by third parties.