Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
As far as i Know, just one.Do you know any formula to calculate how many binary search trees are possible?--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 BST1 12 23 54 145 426 132and so on
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.
42http://en.wikipedia.org/wiki/Catalan_number
please tell me answer of this question. Suppose you are building an N node binary search tree with the values 1...N. how many structurally different binary trees is there that store those values? write a recursive function that, gives the number of distinct values, computes the number of structurally unique binary search trees that store those values. For example, countTrees(4) should return 14, since there are 14 structurally unique binary search trees that store 1,2,3 and 4. The base case us easy, and the recursion is short but dense. your code should not construct any actual trees; it's just a counting problem.
The number of branches is 8.
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
With 3 nodes, there are 5 possible ordered trees. This can be calculated using the formula for the number of ordered trees: n^(n-2), where n is the number of nodes. In this case, 3^(3-2) = 3^1 = 3.
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.
Nodes, references and arrays are the methods for storing binary trees. It can also be stored in breath first order.
1014 it is. no of different trees possible with n nodes is (2^n)-n thanx
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.
6
As far as i Know, just one.Do you know any formula to calculate how many binary search trees are possible?--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 BST1 12 23 54 145 426 132and so on
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.
42http://en.wikipedia.org/wiki/Catalan_number
NULL branches in trees are branches that do not contain any nodes. They represent the absence of a child node in a parent node. These NULL branches are important for maintaining the structure of the tree and indicating where additional nodes can be inserted.