I have the following paragraph in my notes:
If $G=(V,E)$ is a general graph . Let $U\subseteq V$ and let $F$ be a subset of $E$ such that the vertices of each edge in $F$ are in $U$ ,
then $H=(U,F)$ is also a general graph and $H$ is a subgraph of $G$ .
If $F$ consists of all edges of $G$ which have endpoints in $U$ ,then $H$ is called induced subgraph of $G$ and is denoted by $G_U. $
From here both the definition of a subgraph and a induced subgraph seem same to me..
I can't understand what is the difference between them...
Please help with this..