Next Article in Journal
Solving ODEs by Obtaining Purely Second Degree Multinomials via Branch and Bound with Admissible Heuristic
Next Article in Special Issue
Wirelength of Enhanced Hypercube into Windmill and Necklace Graphs
Previous Article in Journal
B-Spline Solutions of General Euler-Lagrange Equations
Previous Article in Special Issue
The Bounds of Vertex Padmakar–Ivan Index on k-Trees
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessArticle

Reformulated Zagreb Indices of Some Derived Graphs

1
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
2
Department of Mathematics, University of the Punjab, Lahore 54000, Pakistan
3
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
4
School of Natural Sciences, National University of Sciences and Technology, Islamabad H-12, Pakistan
*
Authors to whom correspondence should be addressed.
Current address: Department of Mathematical Sciences, United Arab Emirates University, Al Ain P.O. Box 15551, UAE.
Mathematics 2019, 7(4), 366; https://doi.org/10.3390/math7040366
Received: 15 March 2019 / Revised: 13 April 2019 / Accepted: 15 April 2019 / Published: 22 April 2019
(This article belongs to the Special Issue Graph-Theoretic Problems and Their New Applications)
  |  
PDF [726 KB, uploaded 22 April 2019]
  |  

Abstract

A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees. In this paper, we established the expressions for the reformulated Zagreb indices of some derived graphs such as a complement, line graph, subdivision graph, edge-semitotal graph, vertex-semitotal graph, total graph, and paraline graph of a graph. View Full-Text
Keywords: Zagreb indices; reformulated Zagreb indices; degree of vertex; degree of edge Zagreb indices; reformulated Zagreb indices; degree of vertex; degree of edge
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

Liu, J.-B.; Ali, B.; Malik, M.A.; Siddiqui, H.M.A.; Imran, M. Reformulated Zagreb Indices of Some Derived Graphs. Mathematics 2019, 7, 366.

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