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
Pages
8
From page
17
To page
24
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
Serial Year
2016
Record number
2451874
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