Order divisor graphs of finite groups

Shafiq Ur Rehman; Abdul Qudair Baig; Muhammad Imran; Zia Ullah Khan

doi:10.2478/auom-2018-0031

Order divisor graphs of finite groups

Shafiq Ur Rehman, Abdul Qudair Baig, Muhammad Imran, Zia Ullah Khan

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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 different orders are adjacent provided that o(a) divides o(b) or o(b) divides o(a).

Original language	English
Pages (from-to)	29-40
Number of pages	12
Journal	Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Volume	26
Issue number	3
DOIs	https://doi.org/10.2478/auom-2018-0031
Publication status	Published - 2018

Keywords

Connected graphs
Cyclic groups
Elementary abelian groups
Finite groups
P-groups
Sequential joins
Star graphs

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.2478/auom-2018-0031

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AU - Imran, Muhammad

AU - Khan, Zia Ullah

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KW - Cyclic groups

KW - Elementary abelian groups

KW - Finite groups

KW - P-groups

KW - Sequential joins

KW - Star graphs

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Order divisor graphs of finite groups

Abstract

Keywords

ASJC Scopus subject areas

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