Order divisor graphs of finite groups

被引：9

作者：

Rehman, S. U. ^{[1
]}

Baig, A. Q. ^{[1
]}

Imran, M. ^{[2
,3
]}

Khan, Z. U. ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Attock, Pakistan

[2] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

[3] NUST, SNS, Dept Math, Sect H-12, Islamabad, Pakistan

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2018年 / 26卷 / 03期

关键词：

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

D O I：

10.2478/auom-2018-0031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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).

引用

页码：29 / 40

页数：12

共 50 条

[21] Power Graphs of Finite Groups Determined by Hosoya Properties [J].

Ali, Fawad ;

Rather, Bilal Ahmad ;

Din, Anwarud ;

Saeed, Tareq ;

Ullah, Asad .

ENTROPY, 2022, 24 (02)

[22] FINITE GROUPS WHOSE NON-NORMAL SUBGROUPS ARE OF PRIME ORDER [J].

Shi, Huaguo ;

Han, Zhangjia ;

Jiang, Lei .

COLLOQUIUM MATHEMATICUM, 2019, 157 (02) :309-316

[23] ON THE CRITICAL NUMBER OF FINITE GROUPS OF ORDER pq [J].

Wang, Q. H. ;

Zhuang, J. J. .

INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (05) :1271-1279

[24] ON THE NUMBER OF PRIME ORDER SUBGROUPS OF FINITE GROUPS [J].

Burness, Timothy C. ;

Scott, Stuart D. .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 87 (03) :329-357

[25] The finite groups of cube-free order [J].

Qiao, Shouhong ;

Li, Cai Heng .

JOURNAL OF ALGEBRA, 2011, 334 (01) :101-108

[26] Graphs associated to conjugacy classes of normal subgroups in finite groups [J].

Beltran, Antonio ;

Jose Felipe, Maria ;

Melchor, Carmen .

JOURNAL OF ALGEBRA, 2015, 443 :335-348

[27] The connectivity and the spectral radius of commuting graphs on certain finite groups [J].

Ali, Fawad ;

Li, Yongjin .

LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (16) :2945-2958

[28] On Laplacian spectrum of power graphs of finite cyclic and dihedral groups [J].

Chattopadhyay, Sriparna ;

Panigrahi, Pratima .

LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (07) :1345-1355

[29] Signless Laplacian spectrum of power graphs of finite cyclic groups [J].

Banerjee, Subarsha ;

Adhikari, Avishek .

AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2020, 17 (01) :356-366

[30] Forbidden subgraphs of TI-power graphs of finite groups [J].

Li, Huani ;

Chen, Jin ;

Lin, Shixun .

OPEN MATHEMATICS, 2025, 23 (01)

← 1 2 3 4 5 →