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Algorithms and Data Structures Notes

Algorithms


Description: This lectures will provide a rigorous introduction to the design and analysis of algorithms. Here we discuss classic problems (e.g., sorting, traveling salesman problem), classic algorithm design strategies (e.g., divide-and-conquer, greedy approaches), and classic algorithms and data structures (e.g., hash tables, Dijkstra's algorithm). We will also analyze algorithm complexity throughout, and touch on issues of tractibility such as "NP-Completeness".
Texts: Required: Introduction to Algorithms (Second Edition) by Cormen, Leiserson, Rivest, and Stein, McGraw-Hill (2001).

This book is similar to the first edition, so you could probably get by with only the first edition. However, all homework problems assigned from the book will be referenced from the second edition; it is your responsibility to find a way to look them up. I strongly recommend that you buy the text rather than borrow it; this is one of only two text books that I still use on a regular basis. It is an indispensable reference.

Lectures: A tentative schedule of lecture topics is given below. The "CULTURE" topics represent interesting but non-essential material from fields such as computational geometry and computer graphics; they add some variety to the schedule but also give us some slack if we get behind schedule. If we cover a "culture" topic in class, you will be tested on it. Algorithm notes ppt ( lectures powerpoint slides ). It is a collection of lectures notes not ours. Plese Click bellow to download ppt slides/ pdf notes. If you face any problem in downloading then give your suggetion as comment by clicking on comment link bellow the post (bottom of page) or email us in this address . I will must consider your comments only in 1-2 days. Thank you very much for visit our site
Number Date Topic Source Text
1 1/16 Introduction, administration, time and space complexity

PPT

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2 1/18 Basics: asymptotic notation PPT 3.1-3.2
3 1/21 Basics: recurrences (mergesort) PPT 4.1
4 1/23 Basics: recurrences continued, master theorem PPT 4.3, 6.1-6.2
5 1/25 Sorting: intro to heapsort PPT 6, 7.1-7.3
6 1/28 Sorting: heapsort, priority queues PPT 7.4
7 1/30 Sorting: quicksort PPT 5.1-5.3
8 2/1 Sorting: quicksort average case analysis PPT 5.4 last section
9 2/4 Sorting: linear time sorting algorithms PPT 8.1-8.2
10 2/6 Sorting: linear time algorithms continued; Order statistics: selection in expected linear time PPT 8.3-8.4 9.1-9.2
11 2/8 Order statistics: selection in worst-case linear time PPT 9.3
12 2/11 Review for exam PPT
2/13 Basics, Sorting, Order Statistics --
13 2/15 Structures: binary search trees PPT 12.1-12.3
14 2/18 Structures: red-black trees PPT 13.1-13.2
15 2/20 Structures: red-black trees (insertion) PPT 13.3-13.4
16 2/22 Structures: skip lists PPT --
17 2/25 Structures: skip lists, hash tables PPT 11.1-11.2
18 2/27 Structures: hash tables (hash functions) PPT 11.3-11.4
19 3/1 Structures: hash tables (universal hashing) PPT 11.3-11.4
20 3/4 Augmenting structures: dynamic order statistics PPT 14.1-14.2
21 3/6 Augmenting structures: interval trees PPT 14.3
22 3/8 Graph algorithms: the basics PPT 22.1-22.3
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23 3/18 Graph algorithms: BFS PPT 22.3
24 3/20 Graph algorithms: DFS PPT 23.1
EXAM 3/22 Data structures --
25 3/27 Minimum spanning trees PPT 23.2
26 3/29 Shortest paths: Bellman-Ford PPT 24.1-24.3
27 4/1 Shortest paths: DAG, Dijkstra's algorithm PPT
28 4/3 Finish Dijkstra's. Kruskals algorithm; disjoint sets PPT 21.1-21.3, 23.2
29 4/5 Disjoint sets; amortized analysis PPT 17.1-17.2
30 4/8 Amortized analysis continued PPT 17.3-17.4
31 4/10 Dynamic programming PPT 15.1, 15.3
32 4/12 Dynamic programming (longest common subsequence) PPT 15.4
33 4/15 Dynamic programming (knapsack problem) PPT
34 4/17 Greedy algorithms PPT 16.1-16.2
35 4/19 NP-Completeness PPT 34.1-34.2
36 4/22 NP-Completeness continued PPT 34.1-34.2
37 4/24 NP-Completeness: reductions PPT 34.3-4
38 4/26 NP-Completeness: reductions PPT 34.3-4
39 4/29 Review for final PPT --
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