TY - JOUR
ID - 87414
TI - The Non-Coprime Graph of Finite Groups
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Aghababaei-Beni, Gholamreza
AU - Jafarzadeh, Abbas
AD - Department of Pure Mathematics,
International Campus of Ferdowsi University of Mashhad,
Mashhad, Iran
AD - Department of Mathematics,
Quchan University of Technology,
Quchan, Iran
Y1 - 2022
PY - 2022
VL - 7
IS - 4
SP - 385
EP - 394
KW - Coprime graph
KW - dihedral group
KW - semi-dihedral group
KW - dicyclic group
DO - 10.22052/mir.2019.172393.1117
N2 - The non-coprime graph Π_G of a finite group G is a graph with the vertexset G-{e}, where two distinct vertices u and v are adjacent if they havenon-coprime orders. In this paper, the main properties of the Cartesian andtensor product of the non-coprime graph of two finite groups are investigated.We also describe the non-coprime graph of some special groups including thedihedral and semi-dihedral groups. Some open questions are also proposed.
UR - https://mir.kashanu.ac.ir/article_87414.html
L1 - https://mir.kashanu.ac.ir/article_87414_f4e8b2a7b27daf1345a4bdf277419ede.pdf
ER -