Order divisor graphs of finite groups

S. U. Rehman; A. Q. Baig; M. Imran; Z. U. Khan

doi:10.2478/auom-2018-0031

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Order divisor graphs of finite groups

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 26 (2018): Issue 3 (December 2018)

By: S. U. Rehman, A. Q. Baig, M. Imran and Z. U. Khan

Open Access

|Dec 2018

Abstract

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).

References

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2018-0031 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 29 - 40

Submitted on: Sep 5, 2017

Accepted on: Nov 27, 2017

Published on: Dec 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Finite groups,

Cyclic groups,

p-groups,

Elementary abelian groups,

Related subjects:

© 2018 S. U. Rehman, A. Q. Baig, M. Imran, Z. U. Khan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 26 (2018): Issue 3 (December 2018)