Title : ( A Kind of Graph Associated to a Fixed Element and a Subgroup of Group )
Authors: mahboube nasiri , Ahmad Erfanian , Yaqoob A. Farawi , I. Muchtadi-Alamsyah ,
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Abstract
Abstract. Let G be a finite group, H be a subgroup of G and g be a fixed element of G. We introduce the relative g-noncommuting graph associated to g and H. The vertex set is G and two distinct vertices x and y are adjacent if [x, y] 6= g and g−1, whenever x or y belong to H. In this paper, we survey some graph theoretical properties like connectivity and diameter. Also, we investigate some conditions that the graph is a planar graph.
Keywords
, g, noncommuting graph; Diameter; Planar graph.
@article{paperid:1084304,
author = {Nasiri, Mahboube and Erfanian, Ahmad and Yaqoob A. Farawi and I. Muchtadi-Alamsyah},
title = {A Kind of Graph Associated to a Fixed Element and a Subgroup of Group},
journal = {Southeast Asian Bulletin of Mathematics},
year = {2020},
volume = {44},
number = {6},
month = {December},
issn = {0129-2021},
pages = {813--818},
numpages = {5},
keywords = {g-noncommuting graph; Diameter; Planar graph.},
}
%0 Journal Article
%T A Kind of Graph Associated to a Fixed Element and a Subgroup of Group
%A Nasiri, Mahboube
%A Erfanian, Ahmad
%A Yaqoob A. Farawi
%A I. Muchtadi-Alamsyah
%J Southeast Asian Bulletin of Mathematics
%@ 0129-2021
%D 2020
