Generalised Multiplicative Indices of Polycyclic Aromatic Hydrocarbons and Benzenoid Systems

2017 ◽  
Vol 72 (6) ◽  
pp. 573-576 ◽  
Author(s):  
V.R. Kulli ◽  
Branden Stone ◽  
Shaohui Wang ◽  
Bing Wei
Keyword(s):  
Polycyclic Aromatic Hydrocarbons ◽  
Aromatic Hydrocarbons ◽  
Topological Indices ◽  
Zagreb Indices ◽  
Polycyclic Aromatic

AbstractMany types of topological indices such as degree-based topological indices, distance-based topological indices, and counting-related topological indices are explored during past recent years. Among degree-based topological indices, Zagreb indices are the oldest one and studied well. In the paper, we define a generalised multiplicative version of these indices and compute exact formulas for Polycyclic Aromatic Hydrocarbons and jagged-rectangle Benzenoid systems.

scholarly journals Some Formulas for the Polynomials and Topological Indices of Nanostructures

2016 ◽  
Vol 24 (2) ◽  
pp. 122-138 ◽  
Author(s):  
Najmeh Soleimani ◽  
Esmaeel Mohseni ◽  
Fahimeh Rezaei ◽  
Fatemeh Khati
Keyword(s):  
Polycyclic Aromatic Hydrocarbons ◽  
Aromatic Hydrocarbons ◽  
Topological Indices ◽  
Zagreb Indices ◽  
Polycyclic Aromatic ◽  
First Time

Abstract In this paper, we focus on the structure of Polycyclic Aromatic Hydrocarbons (PAHs) and calculate the Omega and its related counting polynomials of nanostructures. Also, the exact expressions for the Theta, Sadhana, Pi, Hyper Zagreb and Forgotten Zagreb indices of linear [n]-Tetracene, V-Tetracenic nanotube, H-Tetracenic nanotube and Tetracenic nanotori were computed for the first time. These indices can be used in QSAR/QSPR studies.

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

2016 ◽  
Vol 1 (1) ◽  
pp. 247-252 ◽  
Author(s):  
Muhammad Kamran Jamil ◽  
Mohammad Reza Farahani ◽  
Muhammad Imran ◽  
Mehar Ali Malik
Keyword(s):  
Polycyclic Aromatic Hydrocarbons ◽  
Aromatic Hydrocarbons ◽  
Closed Formula ◽  
Zagreb Index ◽  
Zagreb Indices ◽  
Second Zagreb Index ◽  
Polycyclic Aromatic

AbstractA 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).

Topologische Indices alternierender polycyclischer aromatischer Kohlenwasserstoffe und ihre Korrelationen mit elektronischen Eigenschaften / Topological Indices of Alternant Polycyclic Aromatic Hydrocarbons and their Correlations with Electronic Properties

1981 ◽  
Vol 36 (11) ◽  
pp. 1217-1221
Author(s):  
K.-D. Gundermann ◽  
C. Lohberger ◽  
M. Zander
Keyword(s):  
Polycyclic Aromatic Hydrocarbons ◽  
Electronic Properties ◽  
Aromatic Hydrocarbons ◽  
Topological Index ◽  
Distance Matrix ◽  
Topological Indices ◽  
Matrix Elements ◽  
Wiener Number ◽  
Polycyclic Aromatic ◽  
Aromatic Systems

The half-sum of the distance matrix elements derived from the characteristic graphs, i.e. the Wiener number of these graphs is proposed as a new topological index for alternant polycyclic aromatic hydrocarbons. It is shown by regression analysis that correlations between topological indices and electronic properties of alternant aromatic systems do only exist for those indices and properties which depend to the same degree from the size of the systems and for which the corresponding relation applies to the topology.

The Assessment of Contamination and Source of Polycyclic Aromatic Hydrocarbons from the Sediments of the Someş River

2019 ◽  
Vol 64 (1) ◽  
pp. 55-67
Author(s):  
Vlad Pӑnescu ◽  
◽  
Mihaela Cӑtӑlina Herghelegiu ◽  
Sorin Pop ◽  
Mircea Anton ◽  
...  
Keyword(s):  
Polycyclic Aromatic Hydrocarbons ◽  
Aromatic Hydrocarbons ◽  
Polycyclic Aromatic
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