Is Category Theory similar to Graph Theory? The following author noted:

Roughly speaking, category theory is graph theory with additional structure to represent composition.

My question is: Is Category Theory similar to Graph Theory?

Category theory and graph theory are similar in the sense that both are visualized by arrows between dots. 
After this the similarities quite much stop, and both have different reason for their existence.
In category theory, we may have a huge amount of dots, and these dots do often represent some abstract algebraic structure or other object with some meaning. The arrows which go between dots needs to respect very specific rules, which makes it possible to draw conclusion about the category and hence about the objects which the dots represents.
In Graph theory however we can draw the arrows in any way we want do not need to care about rules. This gives us a very free way to draw, but also, we do not get the same implementations as graph theory may draw conclusion about the objects which the dots represent, since in graph theory we have dots without meaning.
Category theory draws from graph theory that we may talk about dots being connected, the degree of a dot etc. And when we do not have an extremly huge amount of dots, a category is a graph. So in this case Category theory is just a special case of graph theory.
On the other hand, graph theory (and everything else) may be studied abstractly in category theory, so we could say that graph theory is a special object of study in category theory.
My conclusion Is that the largest similarity (and why people think they are similar) is the way we visualize the two.
