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What is the number of nodes in a strictly binary tree which has n leaves?
IF EVERY NON-LEAF NODE IN A BINARY TREE HAS HAS NONEMPTY LEFT AND RIGHT SUBTREES, THE TREE IS TERMED AS A STRICTLY BINARY TREE. SUCH A TREE WITH n LEAVES ALWAYS CONTAINS 2n-1 NODES.
General tree to binary tree conversion?
The process of converting the general tree to a binary tree is as follows: * use the root of the general tree as the root of the binary tree * determine the first child of the root. This is the leftmost node in the general tree at the next level * insert this node. The child reference of the parent node refers to this node * continue finding the first child of each parent node and insert it below the parent node with the child reference of the parent to this node. * when no more first children exist in the path just used, move back to the parent of the last node entered and repeat the above process. In other words, determine the first sibling of the last node entered. * complete the tree for all nodes. In order to locate where the node fits you must search for the first child at that level and then follow the sibling references to a nil where the next sibling can be inserted. The children of any sibling node can be inserted by locating the parent and then inserting the first child. Then the above process is repeated.
What is the factor tree for 57?
There is no factor tree nor factors of 57 as it is a prime number.
What number has the largest factoring tree?
Infinity
What is a factor tree and how do you know when a factor tree is completed?
A factor tree is when you get a number, say, 180 and pick any numbers ( which are factors of the number), here is an example.180/ \30 6/ \ / \6 5 2 3/ \2 3When you look at the tree you see the numbers below it are factors of that number. However, you do not keep adding numbers below it if it is prime. Prime means that the number's factors are just one and the number itself (ex. 17: 1,17
The height of Complete Binary tree is in terms of :option1. n2. logn3. n^2?
The height of a complete binary tree is in terms of log(n) where n is the number of nodes in the tree. The height of a complete binary tree is the maximum number of edges from the root to a leaf, and in a complete binary tree, the number of leaf nodes is equal to the number of internal nodes plus 1. Since the number of leaf nodes in a complete binary tree is equal to 2^h where h is the height of the tree, we can use log2 to find the height of a complete binary tree in terms of the number of nodes.
What is incomplete binary tree?
Incomplete Binary Tree is a type of binary tree where we do not apply the following formula: 1. The Maximum number of nodes in a level is 2
What is the largest possible number of internal nodes in a red-black tree with black height k?
largest possible number is (2^2k) - 1 nodes when every other node down to the path is red and it is complete binary tree with height 2k. smallest is (2^k) - 1 nodes
There are 8 15 13 14 nodes were there in 4 different trees Which of them could have formed a full binary tree?
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
What is the minimum number of nodes in a binary tree of depth k?
if u assign a 0th level to root of binary tree then,the minimum no. of nodes for depth K is k+1.
What is the number of nodes in a strictly binary tree which has n leaves?
IF EVERY NON-LEAF NODE IN A BINARY TREE HAS HAS NONEMPTY LEFT AND RIGHT SUBTREES, THE TREE IS TERMED AS A STRICTLY BINARY TREE. SUCH A TREE WITH n LEAVES ALWAYS CONTAINS 2n-1 NODES.
Definition of almost complete binary tree?
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.
What is the difference between strictly binary tree and complete binary tree?
Complete Binary tree: -All leaf nodes are found at the tree depth level -All nodes(non-leaf) have two children Strictly Binary tree: -Nodes can have 0 or 2 children
What is number of nodes in a full binary tree which has n levels?
2n-1
What is the difference between extended binary tree and complete binary tree?
Complete Binary tree: All leaf nodes are found at the tree depth level and All non-leaf nodes have two children. Extended Binary tree: Nodes can have either 0 or 2 children.
When converting binary tree into extended binary tree all the original nodes in binary tree are?
will remain same
Why you represent the general trees as binary trees?
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.
