Eccentricity based topological indices of face centered cubic lattice FCC(n)

Author:

Shaker Hani1,Imran Muhammad2,Sajjad Wasim3

Affiliation:

1. Department of Mathematics , COMSATS University Islamabad , Lahore Campus , Lahore Pakistan

2. Department of Mathematical Sciences , United Arab Emirates University , Al Ain , United Arab Emirates

3. School of Mathematical Sciences , Anhui University , Hefei , Anhui , China

Abstract

Abstract Chemical graph theory has become a prime gadget for mathematical chemistry due to its wide range of graph theoretical applications for solving molecular problems. A numerical quantity is named as topological index which explains the topological characteristics of a chemical graph. Recently face centered cubic lattice FCC(n) attracted large attention due to its prominent and distinguished properties. Mujahed and Nagy (2016, 2018) calculated the precise expression for Wiener index and hyper-Wiener index on rows of unit cells of FCC(n). In this paper, we present the ECI (eccentric-connectivity index), TCI (total-eccentricity index), CEI (connective eccentric index), and first eccentric Zagreb index of face centered cubic lattice.

Publisher

Walter de Gruyter GmbH

Subject

Materials Chemistry,Metals and Alloys,Condensed Matter Physics,General Chemistry

Reference27 articles.

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3. Balaban A.T., Chemical graph theory and sherlock holmes principle. HYLE, 2013, 19, 107–134.

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5. Deza M., Fowler P.W., Rassat A., Rogers K.M., Fullerenes as tiling of surfaces. J. Chem. Inf. Comput. Sci., 2000, 40, 550–558.

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