Bioscience and Bioengineering
Articles Information
Bioscience and Bioengineering, Vol.1, No.1, Apr. 2015, Pub. Date: Apr. 10, 2015
Edge Wiener Index of Gear Related Molecular Graphs and Their r-Corona Molecular Graphs
Pages: 12-16 Views: 1342 Downloads: 453
Authors
[01] Yun Gao, Department of Editorial, Yunnan Normal University, Kunming, China.
[02] Sainan Zhou, Zhejiang Zhenyuan Pharmaceutical Co., Ltd, Shaoxing, China.
[03] Wei Gao, School of Information Science and Technology, Yunnan Normal University, Kunming, China.
Abstract
Chemical compounds and drugs are often modelled as graphs (for example, Polyhex Nanotubes and Dendrimer Nanostar) 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. The edge Wiener index of a graph is defined as the sum of the distances between all pairs of edges, and it has been found extensive applications in chemistry. In this paper, we determine the edge Wiener index of gear fan graph, gear wheel graph and their r-corona graphs.
Keywords
Organic Molecules, Edge Wiener Index, Fan Graph, Wheel Graph, Gear Fan Graph, Gear Wheel Graph, r-Corona 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 BioTechnology: 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, -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] F. Buckley, Mean distance in line graphs, Congr. Numer, 1981, 32: 153-162.
[12] I. Gutman, Distance of line graphs, Graph Theory Notes N. Y., 1996, 31: 49-52.
[13] I. Gutman, L. Pavlovi¢, More on distance of line graphs, Graph Theory Notes, 1997, 33:14-18.
[14] P. Dankelmanna, I. Gutmanb, S. Mukwembia, H. C. Swart, The edge-Wiener index of a graph, Discrete Mathematics, 2009, 309: 3452-3457.
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 - 2017 American Institute of Science except certain content provided by third parties.