Order Sum Graph of a Group

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, ver...

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Bibliographic Details
Main Authors: Javeria Amreen, Sudev Naduvath
Format: Article
Language:Arabic
Published: College of Science for Women, University of Baghdad 2023-02-01
Series:Baghdad Science Journal
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/6480
Description
Summary: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.
ISSN:2078-8665
2411-7986