Design & Analysis of Algorithms - Vol 3 | 3. Common Subwords and Subsequences by Abraham | Learn Smarter
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3. Common Subwords and Subsequences

The chapter focuses on the concepts of common subwords and subsequences, specifically the longest common subword problem. It introduces various methods for determining the length of the longest common subword between two sequences, including brute force and dynamic programming approaches, while also demonstrating how to recover the actual subword from these computations.

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Sections

  • 3

    Common Subwords And Subsequences

    This section discusses the problem of finding the longest common subword between two sequences, detailing the brute-force and dynamic programming approaches.

  • 3.1

    Longest Common Subword Problem

    This section discusses the longest common subword problem, including methods to efficiently compute the length of common subwords in two sequences.

  • 3.2

    Brute Force Algorithm

    The section discusses the brute force algorithm for finding the longest common subword between two strings, primarily focusing on calculating the lengths of these segments.

  • 3.3

    Inductive Observation

    This section focuses on the problem of finding the lengths of the longest common subwords between two sequences using inductive reasoning.

  • 3.4

    Dynamic Programming Approach

    This section covers the longest common subword problem between two sequences and introduces a dynamic programming approach to efficiently solve it.

  • 3.5

    Code Implementation Of Dynamic Programming Algorithm

    This section discusses the longest common subword problem and introduces a dynamic programming approach to compute the length of common segments between two words.

Class Notes

Memorization

What we have learnt

  • The longest common subword ...
  • Different algorithms, inclu...
  • The relationship between le...

Final Test

Revision Tests