What are the steps to convert a general tree into binary tree?

Conversion from general tree to binary can be done in two stages.

1. Stage 1: As a first step, we delete all the branches originating in every node except the left most branch. …
2. Stage 2: Once this is done then for any particular node, we choose its left and right sons in the following manner: …
3. Example 1: …
4. Preorder:

The topmost node of a binary tree is called root node and there are mainly two subtrees one is left-subtree and another is right-subtree. Unlike the general tree, the binary tree can be empty.
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Difference between General tree and Binary tree.

How a Complete Binary Tree is Created?

1. Select the first element of the list to be the root node. ( …
2. Put the second element as a left child of the root node and the third element as the right child. ( …
3. Put the next two elements as children of the left node of the second level.

The correspondence between trees and a forests – Removing the root node from a tree, its subtrees become a forest. – Adding an extra node as the root of the trees in a forest, the forest becomes a tree.

Trees can be represented in two ways as listed below: Dynamic Node Representation (Linked Representation). Array Representation (Sequential Representation).

A Binary Tree is a basic structure with a simple rule that no parent must have more than 2 children whereas the Binary Search Tree is a variant of the binary tree following a particular order with which the nodes should be organized.

Construct a Binary Search Tree

1. Set the current node to be the root node of the tree.
2. If the target value equals the key value for the current node, then the target value is found. …
3. If the target value is less than the key value for a node, make the current node the left child.

A Binary tree has the maximum number of leaves (and a minimum number of levels) when all levels are fully filled. Let all leaves be at level l, then below is true for the number of leaves L. L <= 2^L–1 [From Point 1] L = | Log₂L | + 1 Where l is the minimum number of levels.

In general, to build a binary tree you are going to need Two traversals, in order and pre-order for example.

The following steps should be taken for the conservation of forests:

1. Regulated and Planned Cutting of Trees:
2. Control over Forest Fire:
3. Reforestation and Afforestation:
4. Check over Forest Clearance for Agricultural and Flabitation Purposes:
5. Protection of Forest:
6. Proper Utilisation of Forest Products and Forests:

Tree Diagram Procedure

1. Develop a statement of the goal, project, plan, problem, or whatever is being studied. …
2. Ask a question that will lead you to the next level of detail. …
3. Brainstorm all possible answers. …
4. Do a “necessary-and-sufficient” check.

Forest conversion involves The replacement of natural forests with other forms of land use. Often it is a process of gradual forest degradation, which may begin with removal of valuable timber and eventually lead to clearing of the land for plantations, crops, pasture, industry or urban settlement.

Following is a 3 step solution for converting Binary tree to Binary Search Tree.

1. Create a temp array arr[] that stores inorder traversal of the tree. This step takes O(n) time.
2. Sort the temp array arr[]. …
3. Again do inorder traversal of tree and copy array elements to tree nodes one by one.

Types of Binary Tree

• Full Binary Tree. A full Binary tree is a special type of binary tree in which every parent node/internal node has either two or no children. …
• Perfect Binary Tree. …
• Complete Binary Tree. …
• Degenerate or Pathological Tree. …
• Skewed Binary Tree. …
• Balanced Binary Tree.

A Self-Balancing Binary Search Tree is used To maintain sorted stream of data. For example, suppose we are getting online orders placed and we want to maintain the live data (in RAM) in sorted order of prices. For example, we wish to know number of items purchased at cost below a given cost at any moment.

B-tree is called a sorted tree as its nodes are sorted in inorder traversal. While binary tree is not a sorted tree. It can be sorted in inorder, preorder, or postorder traversal.

A perfect binary tree is A binary tree in which all interior nodes have two children and all leaves have the same depth or same level. An example of a perfect binary tree is the (non-incestuous) ancestry chart of a person to a given depth, as each person has exactly two biological parents (one mother and one father).

A perfect binary tree is A binary tree in which all interior nodes have two children and all leaves have the same depth or same level. An example of a perfect binary tree is the (non-incestuous) ancestry chart of a person to a given depth, as each person has exactly two biological parents (one mother and one father).

The main difference between tree and binary tree is that tree arranges data in a structure similar to a tree, in a hierarchical manner, while a binary tree is a type of tree in which a parent node can have a maximum of two child nodes. A data structure is a way of organizing data in a systematic way.

To traverse a binary tree means To visit each node of the tree exactly once in a systematic fashion. Binary tree is non-linear data structure. Hence, we can’t traverse it like a linked list is a sequential manner but it requires a different approach. We mainly have three algorithms for traversing binary tree.

A general tree is A tree where each node may have zero or more children (a binary tree is a specialized case of a general tree). General trees are used to model applications such as file systems.