Table of Contents
- 1 When value of each node is specified at every node it is called as which tree?
- 2 What is the best case and worst case heights for a binary search tree of n nodes?
- 3 How do you use a binary tree?
- 4 How many leaves can a binary tree have?
- 5 How to search in a binary search tree?
- 6 How to find the maximum/minimum element of a binary search tree?
When value of each node is specified at every node it is called as which tree?
binary tree
A binary tree is a rooted tree that is also an ordered tree (a.k.a. plane tree) in which every node has at most two children. A rooted tree naturally imparts a notion of levels (distance from the root), thus for every node a notion of children may be defined as the nodes connected to it a level below.
Which node may have one or more lines running downwards to other nodes?
Child: Any node may have one or more lines running downward to other nodes. Nodes below are children. Leaf: A node that has no children.
What is the best case and worst case heights for a binary search tree of n nodes?
O(n). In a tree, the worst case runtime is dependent on the height of the tree. Since a binary search tree is not guarenteed to be balanced in any way, the worst case height of a tree with n nodes is n-1.
What is the maximum number of levels that a binary search tree with n nodes can have?
If there are n nodes in a binary search tree, maximum height of the binary search tree is n-1 and minimum height is ceil(log2n).
How do you use a binary tree?
1. Introduction
- A binary tree is a tree data structure comprising of nodes with at most two children i.e. a right and left child.
- In computing, binary trees are mainly used for searching and sorting as they provide a means to store data hierarchically.
- A routing table is used to link routers in a network.
How do you fill in a binary search tree?
How a Complete Binary Tree is Created?
- Select the first element of the list to be the root node. (
- Put the second element as a left child of the root node and the third element as the right child. (
- Put the next two elements as children of the left node of the second level.
How many leaves can a binary tree have?
Theorem: A complete binary tree of height h has 0 leaves when h = 0 and otherwise it has 2h leaves. Proof by induction. The complete binary tree of height 0 has one node and it is an isolated point and not a leaf. Therefore it has 0 leaves.
What is the property of binary tree?
A binary tree has the minimum number of nodes in each level. The minimum number of nodes possible at every level is only one node, when ever the parent has one child node. These kind of binary tree is called Skewed Binary Tree.
How to search in a binary search tree?
How to Search in a Binary Search Tree? How to Search in a Binary Search Tree? Given the root node of a binary search tree (BST) and a value. You need to find the node in the BST that the node’s value equals the given value. Return the subtree rooted with that node. If such node doesn’t exist, you should return NULL.
How to check if a node is present in a binary tree?
The Flag will be used to check whether the given node is present in the tree or not. Initially, it will be set to false. searchNode () will search for a particular node in the binary tree: It checks whether the root is null, which means the tree is empty.
How to find the maximum/minimum element of a binary search tree?
The smallest element of a binary search tree is the leftmost element of the tree and the largest element is the rightmost one. So, to find the maximum/minimum element, we have to find the rightmost/leftmost element respectively.
How many children does a binary tree have?
That is, each node in the binary tree will have data, left child and right child. Above diagram represents a binary tree in which 1 represent the root node of the tree.