Design and analysis of algorithms iit

  • Design and Analysis of Algorithms topics

    Algorithm design can be broken down into 5 distinct steps:

    1. Understanding the problem – do you know exactly what you are being asked to do
    2. Identify the inputs – what data needs to go into your program
    3. Identify the processes – are there any calculations or computational operations happening?

  • Design and Analysis of Algorithms topics

    Design and Analysis of algorithms (DAA).

  • Design and Analysis of Algorithms topics

    Usually the main objective is that the algorithm is an efficient, complete and consistent representation of the routine.
    Algorithm analysis usually refers to calculating the computation cost, using Big-Oh notation..

What are the challenges in algorithm design?

One of the primary challenges in algorithm design is to come up with provably optimal algorithms

The optimality is with respect to the underlying model

In this chapter, we look closely at some well-known algorithms for basic problems that uses basic properties of the problem domain in conjunction with elementary analytical methods

What are the different types of algorithms?

Models of computation: RAM and Turing Machines; Algorithm Analysis techniques; Basic techniques for designing algorithms: dynamic programming, divide-and-conquer and Greedy; DFS , BFS and their applications; Some Basic Graph Algorithms; linear time sorting algorithms; NP-Completeness and Approximation Algorithms


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