Title of article :
A note on the order graph of a group
Author/Authors :
Dorbidi, Hamid Reza Department of Basic Sciences - University of Jiroft, Jiroft, Kerman, Iran
Abstract :
The order graph of a group G, denoted by Γ∗(G), is a graph whose vertices are subgroups of G and two distinct vertices H and K are adjacent if and only if |H|∣∣|K| or |K|∣∣|H|.
In this paper, we study the connectivity and diameter of this graph. Also we give a relation between the order graph and prime graph of a group.
Keywords :
Prime graph , Order graph , Frobenius group , Connected graph
Journal title :
Astroparticle Physics
