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.
@article{bwmeta1.element.doi-10_1515_math-2017-0126,
author = {S. Shalchi and A. Erfanian and M. Farrokhi DG},
title = {On$\theta$-commutators and the corresponding non-commuting graphs},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {1530-1538},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0126}
}
S. Shalchi; A. Erfanian; M. Farrokhi DG. Onθ-commutators and the corresponding non-commuting graphs. Open Mathematics, Tome 15 (2017) pp. 1530-1538. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0126/