Design and Analysis of Algorithms

Design and Analysis of Algorithms

@VTU COE

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(0) 31 Students
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What you will learn

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This course will cover basic concepts in the design and analysis of algorithms. 1. Asymptotic complexity,notation 2. Sorting and search 3. Algorithms on graphs: exploration, connectivity, shortest paths, directed acyclic graphs, spanning trees 4. Design techniques: divide and conquer, greedy, dynamic programming 5. Data structures: heaps, union of disjoint sets, search trees 6. Intractability

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Course Outline
Preview 09:24
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Example: Air Travel
Preview 09:32
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Example: Xerox shop
Preview 06:19
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Example: Document similarity
Preview 09:29
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Introduction and motivation
Preview 18:34
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Input size, worst case, average case
Preview 10:27
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Quantifying efficiency: O( ), Omega( ), Theta( )
Preview 18:01
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Examples: Analysis of iterative and recursive algorithms
Preview 17:21

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Arrays and lists
Preview 06:23
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Searching in an array
Preview 09:09
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Selection Sort
Preview 12:11
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Insertion sort
Preview 13:51
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Merge sort
Preview 13:45
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Merge sort - analysis
Preview 15:10
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Quicksort
Preview 17:05
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Quicksort - analysis
Preview 12:17
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Sorting - Concluding remarks
Preview 08:07

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Introduction to graphs
Preview 12:03
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Representing graphs
Preview 13:46
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Breadth first search (BFS)
Preview 20:38
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Depth first search (DFS)
Preview 12:43
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Applications of BFS and DFS
Preview 22:42
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Directed acylic graphs: topological sort
Preview 20:25
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Directed acylic graphs: longest paths
Preview 14:00

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Single source shortest paths: Dijkstras algorithm
Preview 16:15
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Dijkstras algorithm: analysis
Preview 14:21
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Negative edge weights: Bellman-Ford algorithm
Preview 16:41
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All pairs shortest paths
Preview 19:35
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Minimum Cost Spanning Trees
Preview 11:58
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Prims Algorithm
Preview 21:10
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Kruskals algorithm
Preview 14:37

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Union-Find using arrays
Preview 22:11
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Union-Find using pointers
Preview 15:24
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Priority queues
Preview 10:15
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Heaps
Preview 23:13
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Heaps: Updating values, sorting
Preview 12:00
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Counting inversions
Preview 17:57
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Closest pair of points
Preview 16:34

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Binary Search Trees
Preview 33:05
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Balanced search trees
Preview 22:12
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Interval scheduling
Preview 18:06
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Scheduling with deadlines: minimizing lateness
Preview 17:21
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Huffman codes
Preview 29:04

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Introduction to dynamic programming
Preview 19:30
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Memoization
Preview 19:53
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Grid Paths
Preview 21:26
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Common subwords and subsequences
Preview 27:18
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Edit distance
Preview 14:33
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Matrix multiplication
Preview 15:52

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Linear Programming
Preview 18:01
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LP modelling: Production Planning
Preview 13:26
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LP modelling: Bandwidth allocation
Preview 10:21
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Network Flows
Preview 18:04
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Reductions
Preview 10:59
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Checking Algorithms
Preview 23:46
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P and NP
Preview 20:47
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Meet Your Instructor
@VTU COE
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Instructor
3.2 Rating
2542 Students
759 Courses
About Instructor

VTU is one of the largest Technological Universities in India with 24 years of Tradition of excellence in Engineering & Technical Education, Research and Innovations. It came into existence in the year 1998 to cater the needs of Indian industries for trained technical manpower with practical experience and sound theoretical knowledge.

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Free

  • Course Duration
    15 h 11 m 23 s
  • Course Level
    Intermediate
  • Student Enrolled
    31
  • Language
    English
This Course Includes
  • 15 h 11 m 23 s Video Lectures
  • 0 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion