Title: A Unified Modeling and Solution Framework for Partitioning and Related Problems Fred Glover Leeds School of Business University of Colorado at Boulder Boulder, CO 80309-0419 fred.glover@colorado.edu http://spot.colorado.edu/~glover Gary Kochenberger University of Colorado at Denver Denver, CO 80217 Gary.kochenberger@cudenver.edu Abstract: A recent discovery, supported by extensive computational studies, discloses the surprising computational promise of solving a wide range of discrete optimization problems by casting them in the framework of an unconstrained quadratic binary program. We review these developments and present new results for several important combinatorial problems, including clique partitioning and related problems on graphs.