Difference between Stack and Tree Last Updated : 14 Dec, 2020 Comments Improve Suggest changes Like Article Like Report Stack: A Stack is a linear data structure in which elements can be inserted and deleted only from one side of the list, called the top. Insertion is called push operation and deletion is called pop operation in case of the stack. The order of insertion and deletion may be LIFO(Last In First Out) i.e., the element inserted latest to the stack will also be inserted first. In stack, the track of the last element present in the list is tracked with a pointer called top. Below is the diagrammatic representation of the same: Tree: A Tree tree is a finite set of one or more nodes such that: There is a specially designated node called root.The remaining nodes are partitioned into N>=0 disjoint sets T1, T2, T3, …, TN, where T1, T2, T3, …, TN is called the subtree of the root. Each node has a specific parent and may or may not have a child node. Each node contains a value and references to the children. It's a kind of graph data structure but does not have cycles and is fully connected. The concept of a tree is represented in the below diagram: Below is the tabular difference between the Stack and Tree: S No.ParameterStackTree1Basic NatureLinear Data StructureNon-Linear Data Structure2Base NotionTop of the stackThe root of the Tree3SuccessorElement pushed before the reference elementThe notion of child and parent exists4Order of InsertionElements inserted on the TOP of the stackDepends on the type of tree.5Order of DeletionElements deleted from the TOP of the stackDepends on the type of tree.6Insertion ComplexityO(1)Depends on the type for example AVL- O(log2N).7Deletion ComplexityO(1)Depends on the type for example AVL- O(log2N).8SearchingO(1)Depends on the type for example AVL- O(log2N).9Finding MinO(N)Depends on the type for example Min Heap- O(log2N).10Finding MaxO(N)Depends on the type for example Min Heap- O(log2N).11IsEmptyO(1)Mostly O(1)12ImplementationUsing arrays and linked listCan be implemented using array and user-defined type of nodes13TypesNo types existMany types like Binary Tree, AVL Tree, nary Tree, etc.14ApplicationsExpression evaluation, Backtracking, Memory management, etc.Fast search, insert, delete, etc. Comment More infoAdvertise with us Next Article Difference between Stack and Tree P parthbanathia Follow Improve Article Tags : Tree Stack Data Structures Difference Between Programming Language DSA +2 More Practice Tags : Data StructuresStackTree Similar Reads Introduction to Tree Data Structure Tree data structure is a hierarchical structure that is used to represent and organize data in the form of parent child relationship. The following are some real world situations which are naturally a tree.Folder structure in an operating system.Tag structure in an HTML (root tag the as html tag) or 15+ min read Tree Traversal Techniques Tree Traversal techniques include various ways to visit all the nodes of the tree. Unlike linear data structures (Array, Linked List, Queues, Stacks, etc) which have only one logical way to traverse them, trees can be traversed in different ways. In this article, we will discuss all the tree travers 7 min read Applications of tree data structure A tree is a type of data structure that represents a hierarchical relationship between data elements, called nodes. The top node in the tree is called the root, and the elements below the root are called child nodes. Each child node may have one or more child nodes of its own, forming a branching st 4 min read Advantages and Disadvantages of Tree Tree is a non-linear data structure. It consists of nodes and edges. A tree represents data in a hierarchical organization. It is a special type of connected graph without any cycle or circuit.Advantages of Tree:Efficient searching: Trees are particularly efficient for searching and retrieving data. 2 min read Difference between an array and a tree Array:An array is a collection of homogeneous(same type) data items stored in contiguous memory locations. For example, if an array is of type “intâ€, it can only store integer elements and cannot allow the elements of other types such as double, float, char, etc. The array is a linear data structure 3 min read Inorder Tree Traversal without Recursion Given a binary tree, the task is to perform in-order traversal of the tree without using recursion.Example:Input:Output: 4 2 5 1 3Explanation: Inorder traversal (Left->Root->Right) of the tree is 4 2 5 1 3Input:Output: 1 7 10 8 6 10 5 6Explanation: Inorder traversal (Left->Root->Right) o 8 min read Types of Trees in Data Structures A tree in data structures is a hierarchical data structure that consists of nodes connected by edges. It is used to represent relationships between elements, where each node holds data and is connected to other nodes in a parent-child relationship.Types of Trees TreeThe main types of trees in data s 4 min read Generic Trees (N-ary Tree)Introduction to Generic Trees (N-ary Trees)Generic trees are a collection of nodes where each node is a data structure that consists of records and a list of references to its children(duplicate references are not allowed). Unlike the linked list, each node stores the address of multiple nodes. Every node stores address of its children and t 5 min read Inorder traversal of an N-ary TreeGiven an N-ary tree containing, the task is to print the inorder traversal of the tree. Examples: Input: N = 3  Output: 5 6 2 7 3 1 4Input: N = 3  Output: 2 3 5 1 4 6 Approach: The inorder traversal of an N-ary tree is defined as visiting all the children except the last then the root and finall 6 min read Preorder Traversal of an N-ary TreeGiven an N-ary Tree. The task is to write a program to perform the preorder traversal of the given n-ary tree. Examples: Input: 3-Array Tree 1 / | \ / | \ 2 3 4 / \ / | \ 5 6 7 8 9 / / | \ 10 11 12 13 Output: 1 2 5 10 6 11 12 13 3 4 7 8 9 Input: 3-Array Tree 1 / | \ / | \ 2 3 4 / \ / | \ 5 6 7 8 9 O 14 min read Iterative Postorder Traversal of N-ary TreeGiven an N-ary tree, the task is to find the post-order traversal of the given tree iteratively.Examples: Input: 1 / | \ 3 2 4 / \ 5 6 Output: [5, 6, 3, 2, 4, 1] Input: 1 / \ 2 3 Output: [2, 3, 1] Approach:We have already discussed iterative post-order traversal of binary tree using one stack. We wi 10 min read Level Order Traversal of N-ary TreeGiven an N-ary Tree. The task is to print the level order traversal of the tree where each level will be in a new line. Examples: Input: Image Output: 13 2 45 6Explanation: At level 1: only 1 is present.At level 2: 3, 2, 4 is presentAt level 3: 5, 6 is present Input: Image Output: 12 3 4 56 7 8 9 10 11 min read ZigZag Level Order Traversal of an N-ary TreeGiven a Generic Tree consisting of n nodes, the task is to find the ZigZag Level Order Traversal of the given tree.Note: A generic tree is a tree where each node can have zero or more children nodes. Unlike a binary tree, which has at most two children per node (left and right), a generic tree allow 8 min read Binary TreeIntroduction to Binary TreeBinary Tree is a non-linear and hierarchical data structure where each node has at most two children referred to as the left child and the right child. The topmost node in a binary tree is called the root, and the bottom-most nodes are called leaves. Introduction to Binary TreeRepresentation of Bina 15+ min read Properties of Binary TreeThis post explores the fundamental properties of a binary tree, covering its structure, characteristics, and key relationships between nodes, edges, height, and levelsBinary tree representationNote: Height of root node is considered as 0. Properties of Binary Trees1. Maximum Nodes at Level 'l'A bina 4 min read Applications, Advantages and Disadvantages of Binary TreeA binary tree is a tree that has at most two children for any of its nodes. There are several types of binary trees. To learn more about them please refer to the article on "Types of binary tree" Applications:General ApplicationsDOM in HTML: Binary trees help manage the hierarchical structure of web 2 min read Binary Tree (Array implementation)Given an array that represents a tree in such a way that array indexes are values in tree nodes and array values give the parent node of that particular index (or node). The value of the root node index would always be -1 as there is no parent for root. Construct the standard linked representation o 6 min read Complete Binary TreeWe know a tree is a non-linear data structure. It has no limitation on the number of children. A binary tree has a limitation as any node of the tree has at most two children: a left and a right child. What is a Complete Binary Tree?A complete binary tree is a special type of binary tree where all t 7 min read Perfect Binary TreeWhat is a Perfect Binary Tree? A perfect binary tree is a special type of binary tree in which all the leaf nodes are at the same depth, and all non-leaf nodes have two children. In simple terms, this means that all leaf nodes are at the maximum depth of the tree, and the tree is completely filled w 4 min read Ternary TreeCreate a Doubly Linked List from a Ternary TreeGiven a ternary tree, create a doubly linked list out of it. A ternary tree is just like a binary tree but instead of having two nodes, it has three nodes i.e. left, middle, and right. The doubly linked list should hold the following properties – The left pointer of the ternary tree should act as pr 12 min read Like