Design & Analysis of Algorithms - Vol 1 | 21. Depth First Search (DFS) by Abraham | Learn Smarter
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21. Depth First Search (DFS)

This chapter discusses the depth-first search (DFS) algorithm, a strategy for traversing or searching through graph data structures. It begins by explaining how DFS differs from breadth-first search (BFS) and demonstrates the algorithm through a step-by-step example. Additionally, it covers the complexity of DFS, the importance of pre-order and post-order numbering in analyzing graphs, and the structural properties that can be derived from DFS traversal.

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Sections

  • 21.1

    Design And Analysis Of Algorithms

    This section explores the Depth First Search (DFS) algorithm for exploring graphs, emphasizing its mechanism, implementation, and unique advantages compared to other search strategies.

    Learning Practice

  • 21.1.1

    Depth First Search (Dfs)

    Depth First Search (DFS) is an algorithm used for traversing or searching tree or graph data structures, exploring as far as possible along each branch before backtracking.

    Learning Practice

  • 21.1.2

    Executing The Algorithm By Hand

    This section explains the depth-first search algorithm and its execution on a graph manually, detailing how it explores vertices and handles backtracking.

    Learning Practice

  • 21.1.3

    Recursive Implementation Of Dfs

    The section presents the recursive implementation of Depth First Search (DFS), explaining its operation and elaborating on its algorithmic structure.

    Learning Practice

  • 21.1.4

    Complexity Of Depth First Search

    This section explores the Depth First Search (DFS) algorithm, detailing its methodology, complexity, and advantages over other search strategies.

    Learning Practice

  • 21.1.5

    Dfs Numbering Technique

    This section covers the Depth First Search (DFS) numbering technique, explaining how vertices are explored and numbered during traversal for efficient graph analysis.

    Learning Practice

  • 21.1.6

    Example Of Dfs Pre And Post Numbers

    The section covers Depth First Search (DFS), explaining its algorithm, execution via examples, and the significance of pre-order and post-order numbering in graph traversal.

    Learning Practice

  • 21.1.7

    Applications Of Dfs Numbers

    This section discusses Depth First Search (DFS), emphasizing how it operates and the valuable insights provided through DFS numbering.

    Learning Practice

References

ch21.pdf

Class Notes

Memorization

What we have learnt

  • DFS explores vertices by go...
  • The complexity of DFS can v...
  • Pre-order and post-order nu...

Final Test

Revision Tests