Original Research Article

Article volume = 2021 and issue = 1

Pages: 17–26

Article publication Date: February 19,2021

You can download PDF file of the article here: Download

Visited 11 times and downloaded 6 times

# Molecular Topological Properties of Spider’s Web Graph and Their Possible Applications

#### Ahmed Ayache(a), Abdu Alameri(b),

(a)Department of Mathematics, Faculty of Science, University of Bahrain

(b)Department of Biomedical Engineering, Faculty of Engineering, University of Science and Technology, Yemen

##### Abstract:

Topological indices are real numbers related to graphs, They have many applications as tools for modeling chemical and other properties of molecules. In this paper, we study new graphs called Spider’s web graph. Wiener index, Hyper-Wiener index, Wiener polarity and the Schultz indices of Spider’s web graph have been computed. Furthermore, we found the correlation between these topological indices of Spider’s web graph by some statistical parameters.

##### Keywords:

Spider’s Web Graph, Wiener index, Wiener dimension, Hyper-Wiener index, Wiener polarity, Schultz index.

##### References:

- [1] A. Alameri, M. Al-Rumaima, M. Almazah, Y-coindex of graph operations and its applications of molecular descriptors, Journal of Molecular Structure (2020): 128754. 1
- [2] A. Alameri, M. Shubatah, M. Alsharafi, Zagreb indices, Hyper-Zagreb indices and Redefined Zagreb indices of conical graphs, Advances in Mathematics: Scientific Journal, (2020), 3643-–3652. 1
- [3] A. Alameri, N. Al-Naggar, M. Al-Rumaima, M. Alsharafi, Y-index of some graph operations, International Journal of Applied Engineering Research (IJAER). 15 (2)(2020): 173–179. 1
- [4] A. Alameri, A. Modabish, A. Ayache, New Product Operation on Graphs and it’s Properties, International Mathematical Forum, Vol. 11, 2016, no. 8, 357–368. 1
- [5] A. Alameri, Second Hyper-Zagreb Index of Titania Nanotubes and Their Applications, IEEE Access 9: (2021) 9567-9571.1
- [6] M. Alsharafi, M. Shubatah, A. Alameri, The Hyper-Zagreb index of some complement graphs, Advances in Mathematics: Scientific Journal, 9(2020), 3631–3642. 1
- [7] A. Ayache, A. Alameri, Topological indices of the mk-graph, Journal of the Association of Arab Universities for Basic and Applied Sciences (2017) 24, 283–291. 1
- [8] A. Behmaram, H. Yousefi-Azari, A.R.Ashrafi, Some New Resulutes on Distance-Based Polynomials, Commun. Math. Comput. Chem. 65 (2011) 39–50. 1
- [9] G. G. Cash, Relationship Between the Hosoya Polynomial and the Hyper-Wiener Index, Applied Mathematics Letters, (2002), 893–895. 1
- [10] F. Chaudhry, I. Shoukat, D. Afzal, C Park, C. Cancan, M. R. Farahani, U.S. Murty, M-Polynomials and Degree-Based Topological Indices of the Molecule Copper (I) Oxide, Journal of Chemistry, (2021), DOI: 10.1155/2021/6679819. 1
- [11] M. Essalih, M. El-Marraki, G. Al-hagri, Some Topological Indices of Spider’s Web Planar Graph, Applied Mathematical Sciences, Vol. 6, (2012) 3145–3155. 1
- [12] M. Faghani, A. R. Aashrafi, O. Ori, Remarks on The Wiener Polarity index of Some Graph Operations, Appl. Math. Informatics Vol. 30(2012), 353–364. 1
- [13] G. H. Fath-Tabar, A. R. Ashrafi, The Hyper-Wiener Polynomial of Graphs, Mathematical Sciences and Informatics, Vol. 6, No. 2 (2011), 67–74. 1
- [14] M.H. Khalifeh, H. Yousefi-Azari, A.R. Ashrafi, The hyper-Wiener index of graph operations, Computers and Mathematics with Applications 56 (2008), 1402–1407. 1
- [15] B. E. Sagan, Y. Yeh, P. Zhang, The Wiener Polynomial of a Graph, National Science Council (2003). 1
- [16] M. Tavakoli, H. Y.Aazari, Computing PI and Hyper-Wiener Indices of Corona Product of some Graphs, Mathematical Chemistry, Vol. 1, No. 1, April (2010), 131–135. 1
- [17] S.Wagner, Calculating The Correlation Coefficients Of Graph-Theoretical Indices, arXiv preprint math/0608753, (2006). 4

##### Cite this article as:

- Ahmed Ayache, Abdu Alameri,, Molecular Topological Properties of Spider’s Web Graph and Their Possible Applications, Communications in Combinatorics, Cryptography & Computer Science, 2021(1), PP.17–26, 2021
- Export citation to BibTeX