Reformulated Zagreb indices of some derived graphs

Jia Bao Liu; Bahadur Ali; Muhammad Aslam Malik; Hafiz Muhammad Afzal Siddiqui; Muhammad Imran

doi:10.3390/math7040366

Reformulated Zagreb indices of some derived graphs

Jia Bao Liu, Bahadur Ali, Muhammad Aslam Malik, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

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.

Original language	English
Article number	366
Journal	Mathematics
Volume	7
Issue number	4
DOIs	https://doi.org/10.3390/math7040366
Publication status	Published - Apr 1 2019

Keywords

Degree of edge
Degree of vertex
Reformulated Zagreb indices
Zagreb indices

ASJC Scopus subject areas

Computer Science (miscellaneous)
General Mathematics
Engineering (miscellaneous)

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AU - Siddiqui, Hafiz Muhammad Afzal

AU - Imran, Muhammad

PY - 2019/4/1

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AB - 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.

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Reformulated Zagreb indices of some derived graphs

Abstract

Keywords

ASJC Scopus subject areas

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