The General (α,3)-Path Connectivity Indices of Polycyclic Aromatic Hydrocarbons
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-05
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The general (α,t)-path connectivity index of a molecular graph originates from many practical problems such as three-dimensional quantitative structure-activity (3D QSAR) and molecular chirality.
It is defined as Rtα(G)=∑Pt=vi1vi2⋯vit+1⊆G[d(vi1)d(vi2)⋯d(vit+1)]α, where the summation is taken over all possible paths of length t of G and we do not distinguish between the paths vi1vi2⋯vit+1 and vit+1⋯vi2vi1.
In this paper, we focus on the structures of Polycyclic Aromatic Hydrocarbons (PAHn), which play a role in organic materials and medical sciences.
We try to compute the exact general (α,3)-path connectivity indices of this family of hydrocarbon structures.
Furthermore, we exactly derive the monotonicity and the extremal values of R3α(PAHn) for any real number α.
These valuable results could produce strong guiding significance to these applied sciences.
American Psychological Association (APA)
Wang, Haiying& Li, Chuantao. 2018. The General (α,3)-Path Connectivity Indices of Polycyclic Aromatic Hydrocarbons. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1152707
Modern Language Association (MLA)
Wang, Haiying& Li, Chuantao. The General (α,3)-Path Connectivity Indices of Polycyclic Aromatic Hydrocarbons. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-5.
https://search.emarefa.net/detail/BIM-1152707
American Medical Association (AMA)
Wang, Haiying& Li, Chuantao. The General (α,3)-Path Connectivity Indices of Polycyclic Aromatic Hydrocarbons. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-5.
https://search.emarefa.net/detail/BIM-1152707
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152707