Chemistry Journal
Articles Information
Chemistry Journal, Vol.1, No.2, Apr. 2015, Pub. Date: Mar. 31, 2015
Wiener Polynomial of Hexagonal Mobius Molecular Graph
Pages: 25-30 Views: 2719 Downloads: 1234
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
Wiener polynomial is an important topological index in theoretical chemistry. Physical chemical properties of material are closely related to this polynomial. Hexagonal Mobius graphs are one type of molecular graphs embedded into the Mobius strip such that each face is a hexagon. In this paper, we obtain the Wiener polynomial of the two classes of hexagonal Mobius graphs. Furthermore, the λ-modified Wiener index, λ-modified Hyper-Wiener index, Harary index and Harary polynomial of the two classes of hexagonal Mobius graphs are determined.
Keywords
Chemical Graph Theory, Organic Molecules, Wiener Polynomial, Hexagonal Mobius Graph, Automorphism
References
[01] 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.
[02] Wei Gao, Li Shi, Wiener index of gear fan graph and gear wheel graph, Asian Journal of Chemistry, 2014, 26(11): 3397-3400.
[03] 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.
[04] 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.
[05] 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.
[06] Y. J. Pan, Wiener number and hyper-wiener number of two types of polyomino systems, Journal of Mathematical Study, 2013, 46(3): 260-269.
[07] Z. K. Tang, The Wiener indices of unicyclic graphs, Master thesis of Hunan Normal University, 2006.
[08] R. D. Xing, B. Zhou, X. L. Qi, Hyper-Wiener index of unicyclic graphs, MATCH Commun. Math. Comput. Chem., 2011, 66: 315-328
[09] H. Yuan, On the Hyper-Wiener index of unicyclic graphs, Journal of Mathematical Study, 2013, 26(2): 142-150.
[10] L. H. Feng, W. J. Liu, K. X. Xu, The hyper-Wiener index of bicyclic graphs, Manuscript.
[11] Y. H. Chen, The Wiener Index of Unicyclic Graphs with Perfect Matching, Journal of Shanghai Jiaotong University, 2010, 44(6):844-848.
[12] X. L. Qi, B. Zhou, On the hyper-Wiener index of unicyclic graphs with given matching number, Stud. Univ. Babes-Bolyai Math., 2012, 57(4): 459-468.
[13] L. H. Feng, A. llic, Zagreb, Harary and hyper-Wiener indices of graphs with a given matching number , Applied Mathematics Letters, 2010, 23(8):943-948.
[14] Z. B. Du, B. Zhou, Minimum Wiener indices of trees and unicyclic graphs of given matching number, MATCH Commun. Math. Comput. Chem., 2010, 63:101-112.
[15] 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.
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