Eccentric connectivity polynomial and Total eccentricity polynomial of \(NA^n_m\) Nanotube

Authors

  • Rajarethinam Dhavaseelan Department of Mathematics, Sona College of Technology, Salem, Tamilnadu
  • Abdul Qudair Baig Department of Mathematics, COMSATS Institute of Information Technology, Attock Campus
  • Wasim Sajjad Department of Mathematics, COMSATS Institute of Information Technology, Attock Campus
  • Mohammad Reza Farahani Department of Applied Mathematics, Iran University of Science and Technology, Narmak, Tehran

DOI:

https://doi.org/10.26713/jims.v9i1.521

Keywords:

Eccentric connectivity polynomial, Total eccentricity polynomial, Nanotube

Abstract

Let \(G\) be a molecular graph with vertex set \(V(G)\) and edge set \(E(G)\). In chemical graph theory, for a molecular graph we have many invariant polynomials and topological indices. The length of a shortest path between two vertices of \(G\) is called distance. In a connected graph \(G\), the eccentricity \(\epsilon(v)\) of vertex \(v\) is the distance between \(v\) and a vertex farthest from \(v\) in \(G\). In this paper, we consider \(NA^n_m\) nanotube and compute eccentric connectivity polynomial and total eccentricity polynomial. Furthermore, we also compute some eccentricity based Zagreb indices of \(NA^n_m\).

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Published

2017-12-02
CITATION

How to Cite

Dhavaseelan, R., Baig, A. Q., Sajjad, W., & Farahani, M. R. (2017). Eccentric connectivity polynomial and Total eccentricity polynomial of \(NA^n_m\) Nanotube. Journal of Informatics and Mathematical Sciences, 9(1), 201–215. https://doi.org/10.26713/jims.v9i1.521

Issue

Vol. 9 No. 1 (2017)

Section

Research Articles

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