Heaps and Binary Trees Quiz

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Questions and Answers

What condition must a tree satisfy to be considered acyclic?

  • Having n-1 edges (correct)
  • Having no children
  • Having two children
  • Being connected

In a binary tree, how many children can each vertex have?

  • 0 or 1
  • 1 or 2
  • 0, 1, or 2 (correct)
  • Any number of children

What is the purpose of the 'Inorder' algorithm in binary trees?

  • To print the nodes in post-order
  • To count nodes
  • To print the nodes in sorted order (correct)
  • To print the nodes in pre-order

Which traversal algorithm would be most useful to find the height of a binary tree?

<p>Level order (B)</p> Signup and view all the answers

How does a binary tree differ from a general tree?

<p>General trees can have any number of children per node (C)</p> Signup and view all the answers

A tree with n vertices can have different number of edges and still be considered a tree.

<p>False (B)</p> Signup and view all the answers

In a binary tree, each vertex can have up to three children.

<p>False (B)</p> Signup and view all the answers

A connected and acyclic tree will always have n-1 edges.

<p>True (A)</p> Signup and view all the answers

A binary tree is always a rooted tree.

<p>True (A)</p> Signup and view all the answers

The preorder traversal algorithm guarantees that the nodes will be visited in ascending order.

<p>False (B)</p> Signup and view all the answers

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