Next Article in Journal
Cubic Intuitionistic q-Ideals of BCI-Algebras
Next Article in Special Issue
Edge Even Graceful Labeling of Polar Grid Graphs
Previous Article in Journal
Probabilistic Modeling of Speech in Spectral Domain using Maximum Likelihood Estimation
Previous Article in Special Issue
Sufficient Conditions for Triangular Norms Preserving ⊗-Convexity
Article Menu
Issue 12 (December) cover image

Export Article

Open AccessFeature PaperArticle

Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs

1
Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, Chengdu 610106, China
2
South China Business College, Guang Dong University of Foreign Studies, Guangzhou 510545, China
3
Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
4
Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University Lahore,Lahore 54660, Pakistan
5
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
6
Department of Applied Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(12), 751; https://doi.org/10.3390/sym10120751
Received: 29 November 2018 / Revised: 12 December 2018 / Accepted: 13 December 2018 / Published: 14 December 2018
(This article belongs to the Special Issue Discrete Mathematics and Symmetry)
  |  
PDF [698 KB, uploaded 18 December 2018]
  |  

Abstract

Topological indices are graph invariants computed by the distance or degree of vertices of the molecular graph. In chemical graph theory, topological indices have been successfully used in describing the structures and predicting certain physicochemical properties of chemical compounds. In this paper, we propose a definition of generalized bridge molecular graphs that can model more kinds of long chain polymerization products than the bridge molecular graphs, and provide some results of the edge versions of atom-bond connectivity ( A B C e ) and geometric arithmetic ( G A e ) indices for some generalized bridge molecular graphs, which have regular, periodic and symmetrical structures. The results of this paper offer promising prospects in the applications for chemical and material engineering, especially in chemical industry research. View Full-Text
Keywords: atom-bond connectivity index; geometric arithmetic index; line graph; generalized bridge molecular graph atom-bond connectivity index; geometric arithmetic index; line graph; generalized bridge molecular graph
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Zhang, X.; Wu, X.; Akhter, S.; Jamil, M.K.; Liu, J.-B.; Farahani, M.R. Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs. Symmetry 2018, 10, 751.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top