Trees: Hierarchical Data Structures
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Questions and Answers

What is the maximum number of children a node can have in a binary tree?

  • 3
  • 4
  • 0
  • 2 (correct)
  • What is the definition of an internal node in a binary tree?

  • A leaf node
  • A node with no children
  • A node with two children (correct)
  • A node with one child
  • What is the formal recursive definition of a binary tree?

  • Contains no nodes
  • Contains exactly three nodes
  • Contains only leaf nodes
  • Contains a root, left subtree, and right subtree (correct)
  • What is the minimum number of nodes in a binary tree with height h?

    <p>$h+1$</p> Signup and view all the answers

    What is the unique path property in a binary tree?

    <p>A unique path exists from the root to every other node</p> Signup and view all the answers

    What is the maximum number of nodes in a binary tree with height h?

    <p>$2^h-1$</p> Signup and view all the answers

    What are the two types of nodes in a binary tree?

    <p>Internal and external</p> Signup and view all the answers

    What is true about the implementation of downward and horizontal links in a binary tree?

    <p>Downward links are to the first child, and horizontal links are to the next sibling</p> Signup and view all the answers

    What are the uses of Binary Search Trees (BST)?

    <p>For storing and retrieving information faster than with an array data structure</p> Signup and view all the answers

    Why can't a node in a binary tree have more than two children?

    <p>To adhere to the formal definition of a binary tree</p> Signup and view all the answers

    What is the hierarchical nature of trees in data structures?

    <p>They can be connected to one or more nodes</p> Signup and view all the answers

    What is a possible reason for using trees in data structures?

    <p>Storing information in a hierarchy, such as the file system on a computer</p> Signup and view all the answers

    What is the recursive definition of a tree?

    <p>A collection of nodes with a root node and directed edges to subtrees</p> Signup and view all the answers

    What are nodes with no children called in a tree data structure?

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

    How is the level of a node defined in a tree data structure?

    <p>It is the depth of the node in the tree</p> Signup and view all the answers

    What is the height of a leaf node in a tree data structure?

    <p>The length of the longest path from the leaf node to an ancestor node</p> Signup and view all the answers

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