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Publication Date
Wed Feb 01 2023
Journal Name
Baghdad Science Journal
Volume
20
Issue Number
1
DOI
10.21123/bsj.2022.6480
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bsj-6480
Order Sum Graph of a Group
Algebraic graphs
Center
Domination
Graph spectra
Order sum graphs. MSC2010: CXCL10
CXCL16
Date
Javeria Amreen
Sudev Naduvath
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The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained.

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