Computing Topological Indices and Polynomials for Line Graphs

Shahid Imran, Muhammad Kamran Siddiqui, Muhammad Imran and Muhammad Faisal Nadeem
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Shahid Imran: Govt Khawaja Rafique Shaheed College, Lahore 54000, Pakistan
Muhammad Kamran Siddiqui: Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
Muhammad Imran: Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, UAE
Muhammad Faisal Nadeem: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan

Mathematics, 2018, vol. 6, issue 8, 1-10

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.

Keywords: hyper Zagreb index; first and second Zagreb index; multiple Zagreb indices; Zagreb polynomials; line graph; subdivision graph; tadpole; wheel; ladder (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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