Onθ-commutators and the corresponding non-commuting graphs

S. Shalchi, A. Erfanian, and M. Farrokhi DG. "Onθ-commutators and the corresponding non-commuting graphs." Open Mathematics 15.1 (2017): 1530-1538. <http://eudml.org/doc/288483>.

@article{S2017,
abstract = {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.},
author = {S. Shalchi, A. Erfanian, M. Farrokhi DG},
journal = {Open Mathematics},
keywords = {Commutator; Automorphism; Independence number; Chromatic number; Multipartite graph},
language = {eng},
number = {1},
pages = {1530-1538},
title = {Onθ-commutators and the corresponding non-commuting graphs},
url = {http://eudml.org/doc/288483},
volume = {15},
year = {2017},
}

TY - JOUR
AU - S. Shalchi
AU - A. Erfanian
AU - M. Farrokhi DG
TI - Onθ-commutators and the corresponding non-commuting graphs
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1530
EP - 1538
AB - 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.
LA - eng
KW - Commutator; Automorphism; Independence number; Chromatic number; Multipartite graph
UR - http://eudml.org/doc/288483
ER -