No, Constantine held no triumph over Maxentius. There's no particular passage I can point to, since it's difficult to prove a negative, but there is no mention of one, and I found the following passage while looking for someone who had made a more exhaustive search:

Despite the reference to Constantine's victories in the main inscription, it is technically incorrect to refer to this arch as a triumphal monument, as Constantine never claimed a triumph after his civil-war victory over Maxentius.

which was found via http://www.rome101.com/Topics/ArchConstantine/

There is an image on the arch of Crispus participating in a triumphal procession, but this is in general believed as meant to be seen figuratively, as a general expectation of Crispus following in his father's triumphant footsteps rather than participating in an actual triumph.