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Order divisor graphs of finite groups

S. U. Rehman

S. U. Rehman

Department of Mathematics, COMSATS Institute of Information TechnologyAttock, Pakistan
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Rehman, S. U.
, 
A. Q. Baig

A. Q. Baig

Department of Mathematics, COMSATS Institute of Information TechnologyAttock, Pakistan
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Baig, A. Q.
, 
M. Imran

M. Imran

Department of Mathematical Sciences, United Arab Emirates University, Department of Mathematics, School of Natural Sciences(SNS), National University of Sciences and Technology (NUST)Islamabad,
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Imran, M.
 and 
Z. U. Khan

Z. U. Khan

Department of Mathematics, COMSATS Institute of Information TechnologyAttock, Pakistan
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Khan, Z. U.
  
Dec 31, 2018
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Published Online: Dec 31, 2018
Page range: 29 - 40
Received: Sep 05, 2017
Accepted: Nov 27, 2017
DOI: https://doi.org/10.2478/auom-2018-0031
Keywords
© 2018 S. U. Rehman et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The interplay between groups and graphs have been the most famous and productive area of algebraic graph theory. In this paper, we introduce and study the graphs whose vertex set is group G such that two distinct vertices a and b having di erent orders are adjacent provided that o(a) divides o(b) or o(b) divides o(a).

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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