Next Article in Journal
A Probabilistic Proof for Representations of the Riemann Zeta Function
Next Article in Special Issue
On a Variational Method for Stiff Differential Equations Arising from Chemistry Kinetics
Previous Article in Journal
Solving ODEs by Obtaining Purely Second Degree Multinomials via Branch and Bound with Admissible Heuristic
Previous Article in Special Issue
Convergence Analysis of Weighted-Newton Methods of Optimal Eighth Order in Banach Spaces
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle

Computing Degree Based Topological Properties of Third Type of Hex-Derived Networks

1
Department of Mathematics and Computer Science, Anhui Tongling University, TongLing 244061, China
2
Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan
3
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(4), 368; https://doi.org/10.3390/math7040368
Received: 20 February 2019 / Revised: 17 April 2019 / Accepted: 17 April 2019 / Published: 23 April 2019
(This article belongs to the Special Issue Computational Methods in Analysis and Applications)
  |  
PDF [749 KB, uploaded 23 April 2019]
  |  

Abstract

In chemical graph theory, a topological index is a numerical representation of a chemical network, while a topological descriptor correlates certain physicochemical characteristics of underlying chemical compounds besides its chemical representation. The graph plays a vital role in modeling and designing any chemical network. Simonraj et al. derived a new type of graphs, which is named a third type of hex-derived networks. In our work, we discuss the third type of hex-derived networks H D N 3 ( r ) , T H D N 3 ( r ) , R H D N 3 ( r ) , C H D N 3 ( r ) , and compute exact results for topological indices which are based on degrees of end vertices. View Full-Text
Keywords: general randić index; Harmonic index; augmented Zagreb index; atom–bond connectivity (ABC) index; geometric–arithmetic (GA) index; third type of hex-derived networks; HDN3(r); THDN3(r); RHDN3(r); CHDN3(r) general randić index; Harmonic index; augmented Zagreb index; atom–bond connectivity (ABC) index; geometric–arithmetic (GA) index; third type of hex-derived networks; HDN3(r); THDN3(r); RHDN3(r); CHDN3(r)
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

Wei, C.-C.; Ali, H.; Binyamin, M.A.; Naeem, M.N.; Liu, J.-B. Computing Degree Based Topological Properties of Third Type of Hex-Derived Networks. Mathematics 2019, 7, 368.

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]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top