EN
Topological Properties of Networks Using M-Polynomial Approach
Abstract
The M-polynomial is one of the algebraic polynomials, that is useful in theoretical chemistry. It plays significant role in computing the exact expressions of many degree based topological indices. In this report, the M-polynomial of the benzene ring embedded in P-type-surface in 2D network and the Tickysim SpiNNaker Model (TSM) sheet are derived. Using those M-polynomials, some degree based topological indices are derived. In addition, the results are interpreted graphically.
Keywords
Supporting Institution
NIT Durgapur, India.
Thanks
The first author is very obliged to the Department of Science and Technology (DST), Government of India for the Inspire Fellowship [IF170148]
References
- [1] E. Deutsch and S. Klavzar, M-Polynomial, and degree-based topological indices, Iran. J. Math. Chem., Vol:6,(2015), 93-102.
- [2] I. Gutman, Some properties of the Wiener polynomials, Graph Theory Notes N.Y., Vol:125, (1993), 13-18.
- [3] V. Alamian ,A. Bahrami and B. Edalatzadeh, PI Polynomial of V-Phenylenic nanotubes and nanotori, Int. J. Mole. Sci., Vol:9, (2008), 229-234. doi: 10.3390/ijms9030229.
- [4] M. R. Farahani, Computing theta polynomial, and theta index of V-phenylenic planar, nanotubes and nanotoris, Int. J. Theoretical Chem., Vol:1, No.1, (2013), 01-09.
- [5] M. Munir,W. Nazeer, S. Shahzadi and S. M. Kang , Some invariants of circulant graphs, Symmetry, Vol:8, No.11, (2016), 134. doi: 10.3390/sym8110134.
- [6] I. Gutman, Degree-based topological indices, Croat. Chem. Acta, Vol:86, (2013), 351-361.
- [7] I. Gutman and N. Trinajstic, Graph theory and molecular orbitals total p-electron energy of alternant hydrocarbons, Chem. Phys. Lett., Vol:17,(1972), 535-538.
- [8] B. Bollobas and P. Erd¨os, Graphs of extremal weights, Ars Combin., Vol:50,(1998), 225-233.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
April 15, 2020
Submission Date
July 4, 2019
Acceptance Date
March 29, 2020
Published in Issue
Year 2020 Volume: 8 Number: 1
APA
Mondal, S., De, N., & Pal, A. (2020). Topological Properties of Networks Using M-Polynomial Approach. Konuralp Journal of Mathematics, 8(1), 97-105. https://izlik.org/JA88LD28NC
AMA
1.Mondal S, De N, Pal A. Topological Properties of Networks Using M-Polynomial Approach. Konuralp J. Math. 2020;8(1):97-105. https://izlik.org/JA88LD28NC
Chicago
Mondal, Sourav, Nilanjan De, and Anita Pal. 2020. “Topological Properties of Networks Using M-Polynomial Approach”. Konuralp Journal of Mathematics 8 (1): 97-105. https://izlik.org/JA88LD28NC.
EndNote
Mondal S, De N, Pal A (April 1, 2020) Topological Properties of Networks Using M-Polynomial Approach. Konuralp Journal of Mathematics 8 1 97–105.
IEEE
[1]S. Mondal, N. De, and A. Pal, “Topological Properties of Networks Using M-Polynomial Approach”, Konuralp J. Math., vol. 8, no. 1, pp. 97–105, Apr. 2020, [Online]. Available: https://izlik.org/JA88LD28NC
ISNAD
Mondal, Sourav - De, Nilanjan - Pal, Anita. “Topological Properties of Networks Using M-Polynomial Approach”. Konuralp Journal of Mathematics 8/1 (April 1, 2020): 97-105. https://izlik.org/JA88LD28NC.
JAMA
1.Mondal S, De N, Pal A. Topological Properties of Networks Using M-Polynomial Approach. Konuralp J. Math. 2020;8:97–105.
MLA
Mondal, Sourav, et al. “Topological Properties of Networks Using M-Polynomial Approach”. Konuralp Journal of Mathematics, vol. 8, no. 1, Apr. 2020, pp. 97-105, https://izlik.org/JA88LD28NC.
Vancouver
1.Sourav Mondal, Nilanjan De, Anita Pal. Topological Properties of Networks Using M-Polynomial Approach. Konuralp J. Math. [Internet]. 2020 Apr. 1;8(1):97-105. Available from: https://izlik.org/JA88LD28NC
