Reformulated Zagreb Indices of Some Derived Graphs

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....

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Bibliographic Details
Main Authors: Jia-Bao Liu, Bahadur Ali, Muhammad Aslam Malik, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/4/366
Description
Summary: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.
ISSN:2227-7390