As far as i Know, just one.
Do you know any formula to calculate how many binary search trees are possible?
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answer:
(2n C n) / (n+1) = ( factorial (2n) / factorial (n) * factorial (2n - n) ) / ( n + 1 )
where 'n' is number of element (integer/string)
like:
N Number of BST
1 1
2 2
3 5
4 14
5 42
6 132
and so on
Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
A strictly binary tree is one where every node other than the leaves has exactly 2 child nodes. Such trees are also known as 2-trees or full binary trees. An extended binary tree is a tree that has been transformed into a full binary tree. This transformation is achieved by inserting special "external" nodes such that every "internal" node has exactly two children.
Two: 1. root and left child 2. root and right child
conclusion about binary tree
A binary tree can be empty, or consist of three parts: a 'value' (any type), and to binary trees, called as 'left child' and 'right child'
In general: There are 2n-1 nodes in a full binary tree. By the method of elimination: Full binary trees contain odd number of nodes. So there cannot be full binary trees with 8 or 14 nodes, so rejected. With 13 nodes you can form a complete binary tree but not a full binary tree. So the correct answer is 15. niraj
Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
The number of branches is 8.
Infinite (and binary).
1014 it is. no of different trees possible with n nodes is (2^n)-n thanx
General trees are not binary trees. It is the other way around, however, see the last paragraph for a different answer - explanation first... A binary tree is one with two possible child nodes, a left node and a right node, either of which might be not present. This particular representation implies a certain order between the node and its children, and if you walk the tree from bottom left to bottom right, you will traverse the nodes in order. A general tree is one with any number of possible child nodes, including no child nodes, so a binary tree is an example of a general tree, while a general tree is a generalization of a binary tree. However, in the general tree, the meaning of the child nodes might not have any specific ordering, like those in a binary tree, unless the general tree has other information contained in the node about order, because the concept of left and right has no implied meaning when there are more than two children. But, as promised, if the general tree has order, it is always possible to represent the general tree as a binary tree - there will just be more nodes, but they will only contain zero, one, or two children, and they will have an implied order.
Reverse postorder traversal in binary trees is significant because it allows for efficient processing of nodes in a specific order: right child, left child, root. This traversal method is useful for tasks like deleting nodes or evaluating expressions in a tree structure.
A perfect binary tree is a type of binary tree where all levels are completely filled with nodes, except possibly for the last level, which is filled from left to right. This means that every parent node has exactly two children. In contrast, other types of binary trees may have missing nodes or uneven levels, resulting in a less balanced structure. This can affect the efficiency of certain operations, such as searching and inserting elements, making perfect binary trees more predictable and easier to work with in some cases.
A strictly binary tree is one where every node other than the leaves has exactly 2 child nodes. Such trees are also known as 2-trees or full binary trees. An extended binary tree is a tree that has been transformed into a full binary tree. This transformation is achieved by inserting special "external" nodes such that every "internal" node has exactly two children.
Two: 1. root and left child 2. root and right child
The rule of leaves, also known as the rule of five, states that in a binary tree, the number of internal nodes is always one less than the number of leaves. This relationship helps in understanding the structure and properties of binary trees.
Binary trees are commonly used to implement binary search tree and binary heaps.