The Collaborative International Dictionary of English v.0.48:
Intercollegiate \In`ter*col*le"gi*ate\, a. Existing or carried on between colleges or universities; as, intercollegiate relations, rivalry, games, etc. [1913 Webster]WordNet (r) 3.0 (2006):
intercollegiate adj 1: used of competition between colleges or universities; "intercollegiate basketball"