Reformulated Zagreb Indices of Some Derived Graphs

Jia-Bao Liu, Bahadur Ali, Muhammad Aslam Malik, Hafiz Muhammad Afzal Siddiqui and Muhammad Imran
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Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Bahadur Ali: Department of Mathematics, University of the Punjab, Lahore 54000, Pakistan
Muhammad Aslam Malik: Department of Mathematics, University of the Punjab, Lahore 54000, Pakistan
Hafiz Muhammad Afzal Siddiqui: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
Muhammad Imran: School of Natural Sciences, National University of Sciences and Technology, Islamabad H-12, Pakistan

Mathematics, 2019, vol. 7, issue 4, 1-14

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. Mili?evi? 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.

Keywords: Zagreb indices; reformulated Zagreb indices; degree of vertex; degree of edge (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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