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Learning objective

Simple graph-traversal algorithms: Be able to trace breadth-first and depth-first search algorithms and describe typical applications of both. Breadth-first: shortest path for an unweighted graph. Depth-first: Navigating a maze.

Read the explanation, check the common trap, then practise with flashcards and questions.

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Topic

Graph-traversal

Subtopic

Simple graph-traversal algorithms

Aqa A Level Computer ScienceFundamentals of algorithms

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Quick explanation

Simple graph-traversal algorithms: Be able to trace breadth-first and depth-first search algorithms and describe typical applications of both. Breadth-first: shortest path for an unweighted graph. Depth-first: Navigating a maze

  • This point belongs to Graph-traversal, especially Simple graph-traversal algorithms.
  • You need to be able to simple graph-traversal algorithms: Be able to trace breadth-first and depth-first search algorithms and describe typical applications of both. Breadth-first: shortest path for an unweighted graph. Depth-first: Navigating a maze.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Why it matters

This objective helps connect Simple graph-traversal algorithms to exam-style questions, flashcards, and revision notes for Graph-traversal.

Quick student answer

A breadth-first search starts at A. The neighbours of each vertex are considered in the order shown: A: B, C; B: D; C: E; D: none; E: none. In what order are the vertices visited?

Direct answer

A, B, C, D, E

Key terms

  • Breadth-first search: A graph-traversal algorithm that explores vertices level by level from a starting vertex; in an unweighted graph it can find a shortest path.
  • Depth-first search: A graph-traversal algorithm that follows a branch as far as possible before backtracking; it can be used for navigating a maze.

Common trap

Confusing the two traversal patterns: Remember that breadth-first search explores level by level and is used for shortest paths in unweighted graphs. Depth-first search explores one branch deeply and is used for navigating a maze.

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