Algorithms qualifying exams

The following problems are from math and algorithms exams for Ph.D. students. These exams are a part of Ph.D. qualifying exams, which are given twice a year. An algorithms exam usually includes eight problems, and its duration is three hours.
  Spring 1999 (PostScript and PDF)
Fall 1999 (PostScript and PDF) Spring 2000 (PostScript and PDF)
Fall 2000 (PostScript and PDF) Spring 2001 (PostScript and PDF)
Fall 2001 (PostScript and PDF) Spring 2002 (PostScript and PDF)
Fall 2002 (PostScript and PDF) Spring 2003 (PostScript and PDF)
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