Title : ( On θ- commutators and the corresponding non- commuting graphs )
Authors: shalchi saeid , Ahmad Erfanian , Mohammad Farrokhi Derakhshandeh Ghouchan ,
Full TextAbstract
The θ-commutators of elements of a group with respect to an automorphism are introduced and their properties are investigated. Also, corresponding to θ-commutators, we define the θ-non-commuting graphs of groups and study their correlations with other notions. Furthermore, we study independent sets in θ-non-commuting graphs, which enable us to evaluate the chromatic number of such graphs.
Keywords
, Commutator, Automorphism, Independence number, Chromatic number, Multipartite graph
@article{paperid:1067060,
author = {Saeid, Shalchi and Erfanian, Ahmad and Farrokhi Derakhshandeh Ghouchan, Mohammad},
title = {On θ- commutators and the corresponding non- commuting graphs},
journal = {Open Mathematics},
year = {2017},
volume = {15},
number = {1},
month = {December},
issn = {2391-5455},
pages = {1530--1538},
numpages = {8},
keywords = {Commutator; Automorphism; Independence number; Chromatic number; Multipartite graph},
}
%0 Journal Article
%T On θ- commutators and the corresponding non- commuting graphs
%A Saeid, Shalchi
%A Erfanian, Ahmad
%A Farrokhi Derakhshandeh Ghouchan, Mohammad
%J Open Mathematics
%@ 2391-5455
%D 2017
