By Grammar Girl
You need the “from.” Saying that you “graduated college” is wrong, wrong, WRONG. And it makes you look a bit lowbrow to people in a position to judge you.
Here’s why:
When you say that someone graduated from a specific college you are using the intransitive form of “to graduate” because the verb has no object. Although archaic, the formal way to say this using the intransitive form of the verb “to graduate” is “was graduated from.” The more modern way to say it and still be correct is, for example, “Alp graduated from Brown.” You need the “from.”
Alp graduated FROM Brown. The shortest form of this sentence would be “Alp graduated.” If you think about it that way, you can see that “from Brown” isn’t an object, it’s just a prepositional phrase.

Alp graduated from Brown University (via thurdl01/Flickr).
The thing is, when you say, “Alp graduated Brown,” you’ve turned “to graduate” into a transitive verb. By definition, the act of graduating is something a school does to a student, not something a student does to a school. Schools graduate students. You could say that Brown graduated 600 students this year. However, if you say, “Alp graduated Brown,” you’re making Alp the subject and Brown the object and saying that Alp did something to the college
A whopping two-thirds of Google hits for “graduated” come up in the wrong formulation.