Simposium Kebangsaan Sains Matematik 23 (SKSM23) , 2015-11-24

Title : ( Non-coprime graph of a finite group )

Authors: farzaneh mansoori , Ahmad Erfanian , بهناز طلوع حقیقی ,

Citation: BibTeX | EndNote

Abstract

Abstract. In this paper we introduce the non-coprime graph associated to the group G with vertex set } { \ e G such that two distinct vertices are adjacent whenever their orders are relatively non-coprime. Some numerical invariants like diameter, girth, dominating number, independence and chromatic numbers are determined and it has been proved that the non-coprime graph associated to a group G is planar if and only if G is isomorphic to one of the groups 6 5 2 2 4 3 2 , , , , , ' ' ' ' ' ' ' u or 3 S . Moreover, we prove that non-coprime graph of a nilpotent group G is regular if and only if G is a p -group, where p is prime number. Furthermore, a connection between the non- coprime graph and known prime graph has been stated here.

Keywords

, Nilpotent group, abelian group, non-coprime graph.
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@inproceedings{paperid:1052523,
author = {Mansoori, Farzaneh and Erfanian, Ahmad and بهناز طلوع حقیقی},
title = {Non-coprime graph of a finite group},
booktitle = {Simposium Kebangsaan Sains Matematik 23 (SKSM23)},
year = {2015},
location = {جهور},
keywords = {Nilpotent group; abelian group; non-coprime graph.},
}

[Download]

%0 Conference Proceedings
%T Non-coprime graph of a finite group
%A Mansoori, Farzaneh
%A Erfanian, Ahmad
%A بهناز طلوع حقیقی
%J Simposium Kebangsaan Sains Matematik 23 (SKSM23)
%D 2015

[Download]