<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>G</italic> such that two distinct vertices <italic>a</italic> and <italic>b</italic> having di erent orders are adjacent provided that <italic>o</italic>(<italic>a</italic>) divides <italic>o</italic>(<italic>b</italic>) or <italic>o</italic>(<italic>b</italic>) divides <italic>o</italic>(<italic>a</italic>).</p></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).

Order divisor graphs of finite groups

Department of Mathematics, COMSATS Institute of Information Technology

Department of Mathematics, School of Natural Sciences(SNS)

National University of Sciences and Technology (NUST)

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Order divisor graphs of finite groups"}

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...

Order divisor graphs of finite groups

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
Finite groups, Cyclic groups, p-groups, Elementary abelian groups, Connected Graphs, Star Graphs, Sequential Joins

© 2018 S. U. Rehman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Order divisor graphs of finite groups

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

KeywordsFinite groups, Cyclic groups, p-groups, Elementary abelian groups, Connected Graphs, Star Graphs, Sequential Joins

© 2018 S. U. Rehman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Finite groups, Cyclic groups, p-groups, Elementary abelian groups, Connected Graphs, Star Graphs, Sequential Joins