Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal International Journal of Applied Sciences and Smart Technologies
Abor Isa Garba
Usmanu Danfodiyo University, Sokoto, Nigeria.
Computer Science & IT Energy Engineering Industrial & Manufacturing Engineering

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
Subgroup Graphs of Finite Groups Ojonugwa Ejima; Abor Isa Garba; Kazeem Olalekan Aremu
International Journal of Applied Sciences and Smart Technologies Volume 03, Issue 02, December 2021
Publisher : Universitas Sanata Dharma

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24071/ijasst.v3i2.3765

Abstract

Let G be a fnite group with the set of subgroups of G denoted by S(G), then the subgroup graphs of G denoted by T(G) is a graph which set of vertices is S(G) such that two vertices H, K in S(G) (H not equal to K)are adjacent if either H is a subgroup of K or K is a subgroup of H. In this paper, we introduce the Subgroupgraphs T associated with G. We investigate some algebraic properties and combinatorial structures of Subgroupgraph T(G) and obtain that the subgroup graph T(G) of G is never bipartite. Further, we show isomorphismand homomorphism of the Subgroup graphs of finite groups.Let  be a finite group with the set of subgroups of  denoted by , then the subgroup graphs of  denoted by is a graph which set of vertices is such that two vertices ,  are adjacent if either  is a subgroup of or   is a subgroup of .  In this paper, we introduce the Subgroup graphs  associated with .  We investigate some algebraic properties and combinatorial structures of Subgroup graph and obtain that the subgroup graph of  is never bipartite. Further, we show isomorphism and homomorphism of the Subgroup graphs of finite groups.
Co-Authors Kazeem Olalekan Aremu Ojonugwa Ejima