Course Info

• Instructor: Hamid Zarrabi-Zadeh
• Course Syllabus
• Course Calendar
• Quera Page (Assignments, Announcements)

Lectures

• Introduction (Shahrivar 27, 29)
• Analysis of Algorithms, Fibonacci Numbers [KT Ch2]
• Sample Problems: Largest Consecutive Subsequence, 3SUM [CLRS Ch4.1]
• Design by Induction (Mehr 10)
• Evaluating Polynomials, Finding Celebrity, Min/Max [M Ch5]
• Divide and Conquer (Mehr 24)
• Exponentiation, Computing Recurrences, Integer Multiplication, Matrix Multiplication [KT Ch5.1-5], [CLRS Ch4.2]
• Greedy Algorithms (Mehr 26, Aban 1)
• Coin Changing, Activity Selection, Knapsack [KT Ch4.1-2]
• Data Compression, Shannon-Fano, Huffman Codes [KT Ch4.8]
• Dynamic Programming (Aban 3, 8, 10)
• Computing Binomials, Weighted Interval Scheduling [KT Ch6.1-2]
• Matrix-Chain Multiplication, Knapsack, Independent Set on Trees [CLRS Ch15.2], [KT Ch6.4]
• Largest Common Subsequence, Edit Distance, LIS [CLRS Ch15.4], [M Ch6.11]
• Graph Algorithms (Aban 15, 17)
• Minimum Spanning Trees: Kruskal, Prim, and Boruvka [KT Ch4.4], [CLRS Ch24]
• All-Pairs Shortest Paths: Floyd-Warshal and Johnson [CLRS Ch25]
• Maximum Flow (Aban 22, 24)
• Max Flow and Min Cut, Ford-Fulkerson Algorithm [KT Ch7.1-2]
• Variants and Applications of Maximum Flow [KT Ch7.5-8]
• String Matching (Aban 29, Azar 1)
• Knuth-Morris-Pratt Algorithm [CLRS Ch32]
• Rabin-Karp Algorithm, Fingerprint Method [CLRS Ch32]
• Linear Programming (Azar 6, 8)
• Definition and Applications [CLRS Ch29.1-2]
• Simplex Method [CLRS Ch29.3, 5]
• NP-Completeness (Azar 13, 15, 20)
• Polynomial-Time Reduction [KT Ch8.1-2]
• Circuit SAT, NP-Hardness [KT Ch8.3-4]
• Sequencing, Partitioning, and Numerical Problems [KT Ch8.5,7,8]
• Backtracking (Azar 22, 27)
• n-Queens, Subset Sum, 3-Coloring [BB Ch6.6]
• Branch and Bound, Coloring, TSP, Game Trees, α-β Pruning [BB Ch6.6]
• Approximation Algorithms (Azar 29, Dey 4)
• Vertex Cover, Max Cut [CLRS Ch35.1], [KT Ch12.4]
• TSP, Hardness of Approximation [CLRS Ch35.2], [KT Ch11.6]

References

• [KT] J. Kleinberg and E. Tardos, Algorithm Design, Addison Wesley, 2005.
• [CLRS] T. Cormen, C. Leiserson, R. Riverst, and C. Stein, Introduction to Algorithms, 3rd edition, MIT Press, 2009.
• [M] U. Manber, Introduction to Algorithms: A Creative Approach, Addison Wesley, 1989.
• [BB] G. Brassard, P. Bratley, Algorithmics: Theory and Practice, Prentice-Hall, 1988.

Resources

• Lecture Slides for Algorithm Design, by Kevin Wayne