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

Author:

Jamil Muhammad Kamran1,Farahani Mohammad Reza2,Imran Muhammad3,Ali Malik Mehar3

Affiliation:

1. Department of Mathematics, Riphah Institute of Computing and Applied Sciences (RICAS) , Riphah International University , 14 Ali Road , Lahore , Pakistan

2. Department of Applied Mathematics of Iran University of Science and Technology (IUST) , Narmak , Tehran 16844 , Iran

3. School of Natural Sciences , National University of Sciences and Technology , Sector H-12, P.O. 44000 , Islamabad , Pakistan

Abstract

Abstract A Recently, Ghorbani et. al. introduced the eccentric versions of first and second Zagreb indices called third and fourth Zagreb indices defined asM 3 (G) = Σ uvE (G) (ε (u) + ε (ν)) and M 4 (G) = Σ νV(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 (PAH k ).

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Reference18 articles.

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2. R. Todeschini, D. Ballabio, V. Consonni. (2010), Novel molecular descriptors based on functions of new vertex degrees, In: I. Gutman, B. Furtula, (eds.) Novel molecular structure descriptors-Theory and applications I, Univ. Kragujevac, Kragujevac, 73-100.

3. R. Todeschini, V. Consonni. (2010), New local vertex invariants and molecular descriptors based on functions of the vertex degrees, MATCH Commun. Math. Comput. Chem., 64, 359-372.

4. J. Braun, A. Kerber, M. Meringer, C. Rucker. (2005), Similarity of molecular descriptors: the equivalence of Zagreb indices and walk counts, MATCH Commun. Math. Comput. Chem., 54, 163-176.

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