<abstract xmlns="http://www.w3.org/1999/xhtml">A Recently, Ghorbani et. al. introduced the eccentric versions of first and second Zagreb indices called third and fourth Zagreb indices defined as<italic>M</italic>3 (<italic>G</italic>) = Σ<italic>uv</italic>∊<italic>E</italic>(<italic>G</italic>) (<italic>ε</italic> (<italic>u</italic>) + <italic>ε</italic> (<italic>ν</italic>)) <italic>and M</italic>4 (<italic>G</italic>) = Σ<italic>ν</italic>∊<italic>V</italic>(<italic>G</italic>)<italic>ε</italic> (<italic>ν</italic>)2, respectively, where <italic>ε</italic> (<italic>ν</italic>)is the eccentricity of the vertex <italic>ν</italic>. In this paper, we compute the closed formula for third Zagreb index of Polycyclic Aromatic Hydrocarbons (PAH<italic>k</italic>).</abstract>

A Recently, Ghorbani et. al. introduced the eccentric versions of first and second Zagreb indices called third and fourth Zagreb indices defined asM3 (G) = Σuv∊E(G) (ε (u) + ε (ν)) and M4 (G) = Σν∊V(G)ε (ν)2, respectively, where ε (ν)is the eccentricity of the vertex ν. In this paper, we compute the closed formula for third Zagreb index of Polycyclic Aromatic Hydrocarbons (PAHk).

Computing Eccentric Version of Second Zagreb Index of Polycyclic Aromatic Hydrocarbons (PAHk)

National University of Sciences and Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A Recently, Ghorbani et. al. introduced the eccentric versions of first and second Zagreb indices called third and fourth Zagreb indices defined asM3 (G) =...

Computing Eccentric Version of Second Zagreb Index of Polycyclic Aromatic Hydrocarbons (PAHk)

Published Online: Apr 20, 2016

Page range: 247 - 252

Received: Feb 12, 2016

Accepted: Apr 18, 2016

DOI: https://doi.org/10.21042/AMNS.2016.1.00019

Keywords
Molecular graph, Eccentricity, Zagreb Indices, Polycyclic Aromatic Hydrocarbons (PAHk)

© 2016 Muhammad Kamran Jamil, Mohammad Reza Farahani, Muhammad Imran and Mehar Ali Malik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

Computing Eccentric Version of Second Zagreb Index of Polycyclic Aromatic Hydrocarbons (PAHk)

Published Online: Apr 20, 2016

Page range: 247 - 252

Received: Feb 12, 2016

Accepted: Apr 18, 2016

DOI: https://doi.org/10.21042/AMNS.2016.1.00019

KeywordsMolecular graph, Eccentricity, Zagreb Indices, Polycyclic Aromatic Hydrocarbons (PAHk)

© 2016 Muhammad Kamran Jamil, Mohammad Reza Farahani, Muhammad Imran and Mehar Ali Malik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Fig. 2

Keywords
Molecular graph, Eccentricity, Zagreb Indices, Polycyclic Aromatic Hydrocarbons (PAHk)