The tree is considered as a most flexible, versatile and powerful data structure which is used in representing the data processing in a hierarchical relationship. It is one of the important data structure in the field of computer science.
Within this blog post, we are going to explore What is meant by the tree in data structure? What is the tree in the data structure and its types? What is the use of trees in a data structure? What are the structures in trees?…..
…..Types of trees in data structure, Binary tree in data structure.
We can also define a tree as a finite set of one or more data item which is also called node such that-
- There is a special node called the root of the tree.
- The remaining node is partitioned into n>=0 disjoint subset, each of which is itself a tree, and they are called subtree.
In simpler words, a tree is a non-linear data structure in which items are arranged in a stored sequence. it is used to represent hierarchical relationship existing amongst several data items.
Fig 1 shows a tree with 18 nodes. the root node N1 has three subtrees T1, T2, T3 and roots of these subtrees are N2, N3, N4 respectively.
The number of subtrees of a node is called its degree, root N1 has degree 3. A node with degree zero is called a leaf node. The leaf nodes are also called terminal nodes.
If x is the root node and its subtrees are T1, T2, T3, and roots of subtrees are R1, R2, R3 then R1, R2, R3 are the children of x. In turn, x is called the parent of R1, R2, and R3. Children of the same parent are called siblings.
In Fig1 N1 is the parent of N2, N3, N4 hence N2, N3, N4 are siblings. The Degree of a tree is the maximum degree of the node in the tree. The tree in Fig1 has degree 5.
The ancestors of a node are all the nodes along the path from the root to that node. The ancestor of N14 is N5, N2, and N1. The descendants of a node are all the nodes along the path from a node to the terminal node. The descendants of N1 are N2, N5, and N14.
Each node of a tree is assigned a level number as follows – The root node R of the tree is assigned a level number 0, and a node is assigned a level number, which is one more than the level number of its parent(root) of the subtree to which it belongs. The nodes, which are at the same level numbers, are said to be of the same generation.
The height or depth of a tree is the maximum number of nodes in a branch. This turns out to be one more than the largest number of trees.
What is meant by the tree in the data structure?
Unlike an array, stack, linked list, and queue, which comes in the category of linear data structure, the tree is a non-linear data structure. A tree can be empty with no nodes and a tree structure containing one node is called a root node which may be with zero, one, and more subtree.
What is the use of trees in the data structure?
As we have known that tree is a non-linear data structure and store or keeps the data in a hierarchal format. If we manage or organize any data in the form of a tree as a key element in the binary search tree. Then we can find any key faster than the linked list and but it is still slower than the array.
What is a tree example?
There are many areas where the database is maintained in the form of a tree data structure. For example in the field of computer science, it is used in the operating systems, graphics, database management systems, and computer networking, etc.
A tree is a strong data processing schema of data structure that is used to store the data item inside it and process it as per requirement. There are a few tree traversing technique which is used to process the data. A degree of the tree is calculated as the total number of subtree or node attached to that node in a tree.
Inside this blog post, we have gone through What is meant by a tree in data structure? What is the tree in the data structure and its types? What is the use of trees in the data structure? What are the structures of trees? Types of trees in the data structure, Binary tree in the data structure.
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