Exploring Binary Trees in C#

What is the purpose of in-order traversal in a binary tree?

• To create a mirror image of the tree.

• To count the number of nodes in the tree.

• To find the height of the binary tree.

• The purpose of in-order traversal is to retrieve the nodes of a binary tree in sorted order.

Describe the difference between pre-order and post-order traversal techniques.

• Pre-order traversal processes the root after its children, while post-order traversal processes the root before its children.

• Both pre-order and post-order traversals process the root at the same time.

• Pre-order traversal only processes leaf nodes, while post-order traversal processes all nodes.

• Pre-order traversal processes the root before its children, while post-order traversal processes the root after its children.

How do you implement a binary search tree insertion operation in C#?

• public class TreeNode { public int Value; public TreeNode Left; public TreeNode Right; public TreeNode(int value) { Value = value; Left = null; Right = null; } } public class BinarySearchTree { public TreeNode Root; public void Insert(int value) { Root = InsertRec(Root, value); } private TreeNode InsertRec(TreeNode root, int value) { if (root == null) { root = new TreeNode(value); return root; } if (value < root.Value) { root.Left = InsertRec(root.Left, value); } else if (value > root.Value) { root.Right = InsertRec(root.Right, value); } return root; } }

• private TreeNode InsertRec(TreeNode root, int value) { return new TreeNode(value); }

• public class TreeNode { public int Value; public TreeNode Parent; }

• public void Insert(int value) { if (Root == null) { Root = new TreeNode(value); } }

What is the time complexity of searching for an element in a balanced binary search tree?

• O(log n)

• O(1)

• O(n)

• O(n log n)

Explain how to create a tree node class in C# for a binary tree.

• public class TreeNode { public int Value; public TreeNode Child; public TreeNode Sibling; }

• public class BinaryNode { public int Data; public BinaryNode Parent; }

• public class TreeNode { public int Value; public TreeNode Left; public TreeNode Right; public TreeNode(int value) { Value = value; Left = null; Right = null; } }

• public class TreeNode { public int Value; public TreeNode Next; }

What is the significance of the left and right child in a binary search tree?

• Both children contain values equal to the parent node.

• The left child is always a leaf node, and the right child can have multiple children.

• The left child contains values less than the parent node, and the right child contains values greater than the parent node.

• The left child contains values greater than the parent node, and the right child contains values less than the parent node.

How can you perform a level-order traversal of a binary tree?

• Process all nodes in a single pass without any data structure.

• Use a queue to traverse the tree level by level, processing each node from left to right.

• Visit each node recursively before its children to achieve level-order.

• Traverse the tree using a stack to visit nodes in reverse order.

What are the advantages of using a binary search tree over a regular binary tree?

• The advantages of using a binary search tree over a regular binary tree include efficient searching, insertion, and deletion operations due to its sorted structure.

• Binary trees are always balanced, making them faster.

• Binary search trees can only store integer values.

• Regular binary trees allow for more efficient searching than binary search trees.