BFS Traversal for Graphs and Trees Quiz
6 Questions
4 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What data structure does BFS use for traversal?

  • Queue (correct)
  • Array
  • Stack
  • Linked List
  • What is the purpose of using a boolean visited array in BFS for a graph?

  • To keep track of the nodes that have been visited (correct)
  • To calculate the shortest path between nodes
  • To remove cycles from the graph
  • To store the nodes in a specific order
  • How is BFS for a graph different from BFS for a tree?

  • There is no difference
  • BFS for a graph may contain cycles, while BFS for a tree cannot (correct)
  • BFS for a tree may contain cycles, while BFS for a graph cannot
  • BFS for a graph only visits the nodes at a particular level
  • What is the purpose of using a boolean visited array in BFS for a graph?

    <p>To mark the visited vertices and avoid processing a node more than once</p> Signup and view all the answers

    What data structure is used by BFS for traversal?

    <p>Queue</p> Signup and view all the answers

    What is the difference between BFS for a graph and BFS for a tree?

    <p>BFS for a graph may visit the same node more than once due to cycles, while BFS for a tree visits each node only once</p> Signup and view all the answers

    Study Notes

    Breadth-First Search (BFS) Overview

    • BFS utilizes a queue data structure for traversal, allowing it to explore nodes layer by layer, starting from a selected source node.

    Visitation Tracking

    • A boolean visited array is employed in BFS for graphs to keep track of which nodes have already been explored, preventing cycles and redundant processing.

    BFS in Graphs vs Trees

    • BFS for graphs involves navigating through a potentially cyclic structure, necessitating the use of the visited array to avoid re-visiting nodes, while trees do not have cycles, often rendering the visited array unnecessary.
    • In trees, BFS operates similarly to graphs but does not require tracking visited nodes due to the absence of cycles and multiple paths between nodes.

    Key Differences Recap

    • Graphs may contain cycles, thus BFS must manage node re-visitation using the visited array, whereas trees inherently provide a clear hierarchical path without cycles.
    • The core mechanics of BFS remain consistent across both structures; the main distinction lies in the necessity for cycle prevention and node management in graphs versus the straightforward traversal in trees.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Test your knowledge on the relationship between Breadth-First Traversal for Graph and Tree traversal with this quiz. Learn how to avoid processing a node more than once when dealing with graphs, which may contain cycles. Keywords: BFS, graph, tree, traversal, cycles, visited array.

    More Like This

    Use Quizgecko on...
    Browser
    Browser