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The Traveling Salesman Problem

THE Traveling Salesman PROBLEMbyCorinne , Sonoma State University, , University of Pittsburgh, 2013 Submitted to the Graduate Faculty ofthe Department of Mathematics in partial fulfillmentof the requirements for the degree ofMaster of SciencesUniversity of Pittsburgh2013 UNIVERSITY OF PITTSBURGHMATHEMATICS DEPARTMENTThis thesis was presentedbyCorinne BrucatoIt was defended onApril 16, 2013and approved byDr. Jeffrey Paul Wheeler, University of Pittsburgh, MathematicsDr. Beverly Michael, University of Pittsburgh, MathematicsDr. Catalin Trenchea, University of Pittsburgh, MathematicsDr. Anna Vainchtein, University of Pittsburgh, MathematicsThesis Advisor: Dr. Jeffrey Paul Wheeler, University of Pittsburgh, MathematicsiiCopyrightc by Corinne Brucato2013iiiTHE Traveling Salesman PROBLEMC orinne Brucato, of Pittsburgh, 2013 Although a global solution for the Traveling Salesman Problem does not yet exist, there are algorithms for anexisting local solution.

THE TRAVELING SALESMAN PROBLEM Corinne Brucato, M.S. University of Pittsburgh, 2013 Although a global solution for the Traveling Salesman Problem does not yet exist, there are algorithms for an

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