%0 Journal Article
%T The Non-Coprime Graph of Finite Groups
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Aghababaei-Beni, Gholamreza
%A Jafarzadeh, Abbas
%D 2022
%\ 12/01/2022
%V 7
%N 4
%P 385-394
%! The Non-Coprime Graph of Finite Groups
%K Coprime graph
%K dihedral group
%K semi-dihedral group
%K dicyclic group
%R 10.22052/mir.2019.172393.1117
%X 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.
%U https://mir.kashanu.ac.ir/article_87414_f4e8b2a7b27daf1345a4bdf277419ede.pdf