TY - JOUR
ID - 52625
TI - A Kind of Non-commuting Graph of Finite Groups
JO - Journal of Sciences, Islamic Republic of Iran
JA - JSCIENCES
LA - en
SN - 1016-1104
AU - Tolue, B.
AU - Erfanian, A.
AU - Jafarzadeh, A.
AD - 1Department of Pure Mathematics, Faculty of Sciences, Hakim Sabzevari University, Sabzevar, Islamic republic of Iran
AD - 2 Department of Mathematics and Center of Excellence in Analysis on Algebraic Structures, Faculty of Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic republic of Iran.
Y1 - 2014
PY - 2014
VL - 25
IS - 4
SP - 379
EP - 384
KW - g-noncommuting graph
KW - commutator
KW - non-commuting graph
KW - isoclinism
DO -
N2 - Let g be a fixed element of a finite group G. We introduce the g-noncommuting graph of G whose vertex set is whole elements of the group G and two vertices x,y are adjacent whenever [x,y] g and [y,x] g. We denote this graph by . In this paper, we present some graph theoretical properties of g-noncommuting graph. Specially, we investigate about its planarity and regularity, its clique number and dominating number. We prove that if G, H are isoclinic groups with |Z (G)|=|Z (H)|, then their associated graphs are isomorphic.
UR - https://jsciences.ut.ac.ir/article_52625.html
L1 - https://jsciences.ut.ac.ir/article_52625_d10ebf26020ddfc9803c7628524add3d.pdf
ER -