How many nodes are on the bottom layer of a perfect binary tree?
Table of Contents
- 1 How many nodes are on the bottom layer of a perfect binary tree?
- 2 What is the minimum number of nodes in the bottom level of a balanced binary search tree with n nodes?
- 3 What is the maximum number of nodes in a binary tree with L leaves?
- 4 Which is the maximum number of nodes in the branch of tree?
- 5 What is the maximum possible number of nodes in a binary tree at level 6?
- 6 What is the maximum number of nodes if height of tree is 3?
How many nodes are on the bottom layer of a perfect binary tree?
The number of nodes at depth d in a perfect binary tree = 2.
What is the maximum number of nodes in a balanced binary tree?
The maximum number of nodes that a balanced binary tree with depth d is a complete binary tree with 2d−1 nodes. The tree is balanced as well as a complete binary tree. The depth of the tree is 1. So according to the formula the max number of nodes should have been 2^1-1 =1 which is not but 3 in this case.
What is the minimum number of nodes in the bottom level of a balanced binary search tree with n nodes?
The relation is L = (N + 1) / 2 as demonstrated below. That would be the maximum number of leaf nodes for a given tree height H . The minimum number of nodes at a given height is 1 (cannot be zero, because then the tree height would be reduced by one).
What is the maximum number of nodes in a balanced binary tree of height 5?
max number of nodes = 2^(h+1)-1 = 2^6-1 =63. min number of nodes = h+1 = 5+1 = 6.
What is the maximum number of nodes in a binary tree with L leaves?
2l
1) The maximum number of nodes at level ‘l’ of a binary tree is 2l. Here level is the number of nodes on the path from the root to the node (including root and node). Level of the root is 0. This can be proved by induction.
What is the maximum number of nodes n in a perfect binary tree of height h?
A perfect binary tree of height h has 2h + 1 – 1 nodes.
Which is the maximum number of nodes in the branch of tree?
1) The maximum number of nodes at level ‘l’ of a binary tree is 2l. Here level is the number of nodes on the path from the root to the node (including root and node). Level of the root is 0. This can be proved by induction.
What is the maximum number of nodes in a binary tree at level 6?
Discussion Forum
| Que. | What is the maximum possible number of nodes in a binary tree at level 6? |
|---|---|
| b. | 6 |
| c. | 1 |
| d. | 64 |
| Answer:64 |
What is the maximum possible number of nodes in a binary tree at level 6?
What is the maximum number of nodes in a binary tree with 3 levels?
8 nodes
level 3: In this level, the binary tree has maximum 8 nodes which are the child of level 2 nodes.
What is the maximum number of nodes if height of tree is 3?
Answer: A perfect binary tree of height 3 has 23+1 – 1 = 15 nodes.
What is the maximum number of nodes in a binary tree of height 6?