%0 Journal Article %T A note on the order graph of a group %J Algebraic Structures and Their Applications %I Yazd University %Z 2382-9761 %A Dorbidi, Hamid Reza %D 2016 %\ 02/01/2016 %V 3 %N 1 %P 17-24 %! A note on the order graph of a group %K Connected graph %K Frobenius group %K Order graph %K Prime graph %R %X  The order graph of a group $G$, denoted by $\Gamma^*(G)$, is a graph whose vertices are subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent if and only if $|H|\big{|}|K|$ or $|K|\big{|}|H|$. 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. %U https://as.yazd.ac.ir/article_875_0edfd6e49270d69dbf1f6ea8948e0b59.pdf