BFS Traversal for Graphs and Trees Quiz
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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.

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    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.

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