Tree Data Structure

What is a binary tree?

• A binary tree is a tree data structure in which each node has at most two children.

• A binary tree is a tree data structure where each node has only one child.

• A binary tree is a tree data structure that allows cyclic connections between nodes.

• A binary tree is a tree data structure with three children.

Explain the concept of a binary search tree.

• Each node in a binary search tree can have more than two children.

• A binary search tree is a data structure that allows for efficient searching, insertion, and deletion operations. Each node in the tree has at most two children, referred to as the left child and the right child. The key value of the left child is less than the key value of its parent node, and the key value of the right child is greater than the key value of its parent node.

• The key value of the left child in a binary search tree is greater than the key value of its parent node.

• A binary search tree is a data structure that allows for efficient sorting operations.

What are the different tree traversal methods?

• breadth-first

• in-order, pre-order, post-order, level-order

• depth-first

• reverse-order

Why is it important to have balanced trees?

• Balanced trees are only useful for aesthetic purposes.

• Balanced trees have no impact on the efficiency of search, insertion, and deletion operations.

• Balanced trees ensure faster search, insertion, and deletion operations.

• Balanced trees ensure slower search, insertion, and deletion operations.

What is the height of a balanced binary tree with 'n' nodes?

• n^2

• 2n

• log2(n+1) - 1

• n-1

How is a binary tree different from a binary search tree?

• A binary search tree imposes an ordering on the nodes, making it easier to search for elements in logarithmic time.

• A binary tree always has a root node, but a binary search tree may not.

• A binary tree can have duplicate elements, unlike a binary search tree.

• A binary tree has a height-balanced structure, while a binary search tree does not.

What is an inorder traversal of a binary tree?

• Visiting left subtree, visiting root node, visiting right subtree

• Visiting left subtree, visiting right subtree, visiting root node

• Visiting right subtree, visiting root node, visiting left subtree

• Visiting root node, visiting left subtree, visiting right subtree

How does a binary search tree support efficient searching?

• Binary search tree only allows searching in a linear time complexity

• Binary search tree stores elements in a linked list for quick access

• Binary search tree maintains a sorted order of elements with left child less and right child greater, enabling logarithmic time complexity for searching.

• Binary search tree randomly shuffles elements for faster searching

Explain the concept of a complete binary tree.

• A complete binary tree is a binary tree where nodes are arranged in a zigzag pattern.

• A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.

• A complete binary tree is a binary tree where all nodes have the same depth.

• A complete binary tree is a binary tree where each node has exactly two children.

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

• O(log n)

• O(1)

• O(n log n)

• O(n)