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Mathematics 2018, 6(8), 137; https://doi.org/10.3390/math6080137

Computing Topological Indices and Polynomials for Line Graphs

1
Govt Khawaja Rafique Shaheed College, Lahore 54000, Pakistan
2
Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
3
Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, UAE
4
Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
5
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 16 July 2018 / Revised: 31 July 2018 / Accepted: 5 August 2018 / Published: 10 August 2018
(This article belongs to the Special Issue Discrete Optimization: Theory, Algorithms, and Applications)
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Abstract

A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision. View Full-Text
Keywords: hyper Zagreb index; first and second Zagreb index; multiple Zagreb indices; Zagreb polynomials; line graph; subdivision graph; tadpole; wheel; ladder hyper Zagreb index; first and second Zagreb index; multiple Zagreb indices; Zagreb polynomials; line graph; subdivision graph; tadpole; wheel; ladder
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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).
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Imran, S.; Siddiqui, M.K.; Imran, M.; Nadeem, M.F. Computing Topological Indices and Polynomials for Line Graphs. Mathematics 2018, 6, 137.

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