Data Structures: Trees and Traversals Quiz

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Questions and Answers

Which traversal method is most suitable for reconstructing a binary tree when combined with in-order traversal?

Level-order

Any traversal

Pre-order (correct)

Post-order

Which type of binary tree ensures the left and right subtrees of any node differ in height by at most 1?

AVL Tree

Complete Binary Tree

Red-Black Tree (correct)

Perfect Binary Tree

Which traversal method visits the root node before its subtrees?

Level-order

Post-order

In-order

Pre-order (correct)

In which traversal is the root visited last?

Post-order Signup and view all the answers

What is the order of nodes visited in pre-order traversal?

Root, left subtree, right subtree Signup and view all the answers

Which data structure is typically used for iterative tree traversal?

Stack Signup and view all the answers

What is the key property of a Binary Search Tree (BST)?

Left child values are smaller, and right child values are larger than the root Signup and view all the answers

What happens when you insert a value into a BST that is smaller than the root?

It is placed in the left subtree Signup and view all the answers

Which traversal method processes nodes level by level?

Level-order Signup and view all the answers

Where is a value placed if it is greater than the root in a BST?

In the right subtree Signup and view all the answers

What type of binary tree is commonly used in memory management?

Binary Heap Signup and view all the answers

Which binary tree balances itself after insertion or deletion of nodes?

AVL Tree Signup and view all the answers

What is the property of a Red-Black Tree?

Nodes are either red or black. Signup and view all the answers

Which traversal method visits nodes in the order: root, left subtree, right subtree?

Pre-order Signup and view all the answers

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

2 Signup and view all the answers

Which of the following is true about a binary search tree (BST)?

Left subtree values are smaller, and right subtree values are greater than the root. Signup and view all the answers

In a binary tree, if a node has one child, which of the following is true?

It can have either a left or right child, but not both. Signup and view all the answers

What is the typical behavior when inserting a node into a binary tree that already has two children?

It looks for the next available position using level-order traversal. Signup and view all the answers

Study Notes

Part I: Multiple Choice Questions

Question 1: Pre-order traversal is most helpful for reconstructing binary trees when combined with in-order traversal.
Question 2: Leaf nodes in an expression tree typically represent variables or constants.
Question 3: Operator nodes in expression trees perform computations on their child nodes.
Question 4: Internal nodes in expression trees usually contain operators.
Question 5: The expression tree for (3+2)×5 has a root node 'x' with children '+' and '5'.
Question 6: A binary search tree (BST) is structured to keep a sorted order.
Question 7: An AVL tree ensures the height difference between left and right subtrees of any node is at most 1.
Question 8: In a complete binary tree, all levels (except potentially the final one) are completely filled from left to right.
Question 9: A full binary tree has each level filled evenly. Every node has either zero or two children.

Additional Multiple Choice Questions

Question 10: Heaps use complete binary trees.
Question 11: AVL trees are balanced binary search trees.
Question 12: A perfect binary tree has all leaf nodes on the same level.
Question 13: Complete binary trees are frequently used in memory management.
Question 14: AVL trees maintain balance after insertions or deletions.
Question 15: Every node in a red-black tree is either red or black.
Question 16: A leaf node has no children.
Question 17: Pre-order traversal visits the root first, followed by the left subtree, and then the right subtree.
Question 18: The maximum number of children a node in a binary tree can have is two.
Question 19: Characteristics of a binary search tree (BST): left subtree values are smaller than the root and right subtree values are greater than the root.
Question 20: A binary tree has a root and each node can have at most two children.
Question 21: If a node has only one child, it is not a leaf node. It can have either a left or a right child, but not both.
Question 22: Inserting a node into a binary tree that already has two children often involves reorganizing the tree.
Question 23: Creating a binary tree node usually involves initializing the node with a value and setting its left and right pointers to null.
Question 24: Insertion into a binary tree often guarantees that the tree remains a legal binary tree after insertion.
Question 25: Tree traversal involves visiting every node to perform specific operations.
Question 26: Pre-order traversal visits the root node initially before the subtrees.
Question 27: Post-order traversal visits the root node last.
Question 28: In-order traversal visits the left subtree, then the root, and finally the right subtree.
Question 29: The order of node visitation in pre-order traversal is root, left subtree, right subtree.
Question 30: Depth-first search methods, including pre-order and post-order, are also categorized as depth-first traversals.
Question 31: Iterative traversal typically uses a stack data structure.
Question 32: In post-order traversal, the root node is visited last.
Question 33: Level-order traversal processes nodes level by level.
Question 34: Nodes in a binary search tree are visited in ascending order in an in-order traversal.
Question 35: Post-order traversal is commonly used to evaluate expressions in expression trees.
Question 36: Huffman encoding uses full binary trees.
Question 37: In a Binary Search Tree (BST), the left child's values are less than the parent, and the right child's values are greater.
Question 38: A node with a value smaller than the root is placed in the left subtree.
Question 39: A node with a value greater than the root is placed in the right subtree.
Question 40: An in-order traversal can confirm whether a BST is properly sorted.

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Description

Test your knowledge on various tree data structures such as expression trees and binary search trees. This quiz covers essential concepts like pre-order traversal, AVL trees, and the properties of binary trees. Perfect for students studying data structures in computer science.