Linear data structure: Data structure in which data elements are arranged sequentially or linearly, where each element is attached to its previous and next adjacent elements, is called a linear data structure.
Examples of linear data structures are array, stack, queue, linked list, etc.
- Static data structure: Static data structure has a fixed memory size. It is easier to access the elements in a static data structure.
An example of this data structure is an array.
- Dynamic data structure: In the dynamic data structure, the size is not fixed. It can be randomly updated during the runtime which may be considered efficient concerning the memory (space) complexity of the code.
Examples of this data structure are queue, stack, etc.
Need Of Data structure :
The structure of the data and the synthesis of the algorithm are relative to each other. Data presentation must be easy to understand so the developer, as well as the user, can make an efficient implementation of the operation.
Data structures provide an easy way of organizing, retrieving, managing, and storing data.
Here is a list of the needs for data.
- Data structure modification is easy.
- It requires less time.
- Save storage memory space.
- Data representation is easy.
- Easy access to the large database.
Arrays:
An array is a linear data structure and it is a collection of items stored at contiguous memory locations. The idea is to store multiple items of the same type together in one place. It allows the processing of a large amount of data in a relatively short period. The first element of the array is indexed by a subscript of 0. There are different operations possible in an array, like Searching, Sorting, Inserting, Traversing, Reversing, and Deleting.
Characteristics of an Array:
An array has various characteristics which are as follows:
- Arrays use an index-based data structure which helps to identify each of the elements in an array easily using the index.
- If a user wants to store multiple values of the same data type, then the array can be utilized efficiently.
- An array can also handle complex data structures by storing data in a two-dimensional array.
- An array is also used to implement other data structures like Stacks, Queues, Heaps, Hash tables, etc.
- The search process in an array can be done very easily.
Operations performed on array:
- Initialization : An array can be initialized with values at the time of declaration or later using an assignment statement.
- Accessing elements: Elements in an array can be accessed by their index, which starts from 0 and goes up to the size of the array minus one.
- Searching for elements : Arrays can be searched for a specific element using linear search or binary search algorithms.
- Sorting elements : Elements in an array can be sorted in ascending or descending order using algorithms like bubble sort, insertion sort, or quick sort.
- Inserting elements: Elements can be inserted into an array at a specific location, but this operation can be time-consuming because it requires shifting existing elements in the array.
- Deleting elements: Elements can be deleted from an array by shifting the elements that come after it to fill the gap.
- Updating elements: Elements in an array can be updated or modified by assigning a new value to a specific index.
- Traversing elements: The elements in an array can be traversed in order, visiting each element once.
These are some of the most common operations performed on arrays. The specific operations and algorithms used may vary based on the requirements of the problem and the programming language used.
Applications of Array:
Different applications of an array are as follows:
- An array is used in solving matrix problems.
- Database records are also implemented by an array.
- It helps in implementing a sorting algorithm.
- It is also used to implement other data structures like Stacks, Queues, Heaps, Hash tables, etc.
- An array can be used for CPU scheduling.
- Can be applied as a lookup table in computers.
- Arrays can be used in speech processing where every speech signal is an array.
- The screen of the computer is also displayed by an array. Here we use a multidimensional array.
- The array is used in many management systems like a library, students, parliament, etc.
- The array is used in the online ticket booking system. Contacts on a cell phone are displayed by this array.
- In games like online chess, where the player can store his past moves as well as current moves. It indicates a hint of position.
- To save images in a specific dimension in the android Like 360*1200
Real-Life Applications of Array:
- An array is frequently used to store data for mathematical computations.
- It is used in image processing.
- It is also used in record management.
- Book pages are also real-life examples of an array.
- It is used in ordering boxes as well.
Want to get started with arrays? You can try out our curated articles and lists for the best practice:
- Introduction to Array Data Structure
- Top 50 Array Coding Problems for Interviews
- Practice Array problem on GeeksforGeeks
Linked list:
A linked list is a linear data structure in which elements are not stored at contiguous memory locations. The elements in a linked list are linked using pointers as shown in the below image:
Types of linked lists:
- Singly-linked list
- Doubly linked list
- Circular linked list
- Doubly circular linked list
Characteristics of a Linked list:
A linked list has various characteristics which are as follows:
- A linked list uses extra memory to store links.
- During the initialization of the linked list, there is no need to know the size of the elements.
- Linked lists are used to implement stacks, queues, graphs, etc.
- The first node of the linked list is called the Head.
- The next pointer of the last node always points to NULL.
- In a linked list, insertion and deletion are possible easily.
- Each node of the linked list consists of a pointer/link which is the address of the next node.
- Linked lists can shrink or grow at any point in time easily.
Operations performed on Linked list:
A linked list is a linear data structure where each node contains a value and a reference to the next node. Here are some common operations performed on linked lists:
- Initialization: A linked list can be initialized by creating a head node with a reference to the first node. Each subsequent node contains a value and a reference to the next node.
- Inserting elements: Elements can be inserted at the head, tail, or at a specific position in the linked list.
- Deleting elements : Elements can be deleted from the linked list by updating the reference of the previous node to point to the next node, effectively removing the current node from the list.
- Searching for elements : Linked lists can be searched for a specific element by starting from the head node and following the references to the next nodes until the desired element is found.
- Updating elements : Elements in a linked list can be updated by modifying the value of a specific node.
- Traversing elements: The elements in a linked list can be traversed by starting from the head node and following the references to the next nodes until the end of the list is reached.
- Reversing a linked list : The linked list can be reversed by updating the references of each node so that they point to the previous node instead of the next node.
These are some of the most common operations performed on linked lists. The specific operations and algorithms used may vary based on the requirements of the problem and the programming language used.
Applications of the Linked list:
Different applications of linked lists are as follows:
- Linked lists are used to implement stacks, queues, graphs, etc.
- Linked lists are used to perform arithmetic operations on long integers.
- It is used for the representation of sparse matrices.
- It is used in the linked allocation of files.
- It helps in memory management.
- It is used in the representation of Polynomial Manipulation where each polynomial term represents a node in the linked list.
- Linked lists are used to display image containers. Users can visit past, current, and next images.
- They are used to store the history of the visited page.
- They are used to perform undo operations.
- Linked are used in software development where they indicate the correct syntax of a tag.
- Linked lists are used to display social media feeds.
Real-Life Applications of a Linked list:
- A linked list is used in Round-Robin scheduling to keep track of the turn in multiplayer games.
- It is used in image viewer. The previous and next images are linked, and hence can be accessed by the previous and next buttons.
- In a music playlist, songs are linked to the previous and next songs.
Want to get started with a linked list? You can try out our curated articles and lists for the best practice:
- Introduction to Linked list Data Structure
- Top 20 Linked list Interview Questions
- Practice Linked List problem on GeeksforGeeks
Stack:
Stack is a linear data structure that follows a particular order in which the operations are performed. The order is LIFO(Last in first out) . Entering and retrieving data is possible from only one end. The entering and retrieving of data is also called push and pop operation in a stack. There are different operations possible in a stack like reversing a stack using recursion, Sorting, Deleting the middle element of a stack, etc.
Characteristics of a Stack:
Stack has various different characteristics which are as follows:
- Stack is used in many different algorithms like Tower of Hanoi, tree traversal, recursion, etc.
- Stack is implemented through an array or linked list.
- It follows the Last In First Out operation i.e., an element that is inserted first will pop in last and vice versa.
- The insertion and deletion are performed at one end i.e. from the top of the stack.
- In stack, if the allocated space for the stack is full, and still anyone attempts to add more elements, it will lead to stack overflow.
Applications of Stack:
Different applications of Stack are as follows:
- The stack data structure is used in the evaluation and conversion of arithmetic expressions.
- It is used for parenthesis checking.
- While reversing a string, the stack is used as well.
- Stack is used in memory management.
- It is also used for processing function calls.
- The stack is used to convert expressions from infix to postfix.
- The stack is used to perform undo as well as redo operations in word processors.
- The stack is used in virtual machines like JVM.
- The stack is used in the media players. Useful to play the next and previous song.
- The stack is used in recursion operations.
Operation performed on stack ;
A stack is a linear data structure that implements the Last-In-First-Out (LIFO) principle. Here are some common operations performed on stacks:
- Push : Elements can be pushed onto the top of the stack, adding a new element to the top of the stack.
- Pop : The top element can be removed from the stack by performing a pop operation, effectively removing the last element that was pushed onto the stack.
- Peek: The top element can be inspected without removing it from the stack using a peek operation.
- IsEmpty : A check can be made to determine if the stack is empty.
- Size : The number of elements in the stack can be determined using a size operation.
These are some of the most common operations performed on stacks. The specific operations and algorithms used may vary based on the requirements of the problem and the programming language used. Stacks are commonly used in applications such as evaluating expressions, implementing function call stacks in computer programs, and many others.
Real-Life Applications of Stack:
- Real life example of a stack is the layer of eating plates arranged one above the other. When you remove a plate from the pile, you can take the plate to the top of the pile. But this is exactly the plate that was added most recently to the pile. If you want the plate at the bottom of the pile, you must remove all the plates on top of it to reach it.
- Browsers use stack data structures to keep track of previously visited sites.
- Call log in mobile also uses stack data structure.
Want to get started with Stack? You can try out our curated articles and lists for the best practice:
- Introduction to Stack Data Structure
- Practice Stack problem on GeeksforGeeks
Queue:
Queue is a linear data structure that follows a particular order in which the operations are performed. The order is First In First Out(FIFO) i.e. the data item stored first will be accessed first. In this, entering and retrieving data is not done from only one end. An example of a queue is any queue of consumers for a resource where the consumer that came first is served first. Different operations are performed on a Queue like Reversing a Queue (with or without using recursion), Reversing the first K elements of a Queue, etc. A few basic operations performed In Queue are enqueue, dequeue, front, rear, etc.
Characteristics of a Queue:
The queue has various different characteristics which are as follows:
- The queue is a FIFO (First In First Out) structure.
- To remove the last element of the Queue, all the elements inserted before the new element in the queue must be removed.
- A queue is an ordered list of elements of similar data types.
Applications of Queue:
Different applications of Queue are as follows:
- Queue is used for handling website traffic.
- It helps to maintain the playlist in media players.
- Queue is used in operating systems for handling interrupts.
- It helps in serving requests on a single shared resource, like a printer, CPU task scheduling, etc.
- It is used in the asynchronous transfer of data e.g. pipes, file IO, and sockets.
- Queues are used for job scheduling in the operating system.
- In social media to upload multiple photos or videos queue is used.
- To send an e-mail queue data structure is used.
- To handle website traffic at a time queues are used.
- In Windows operating system, to switch multiple applications.
Operation performed on queue:
A queue is a linear data structure that implements the First-In-First-Out (FIFO) principle. Here are some common operations performed on queues:
- Enqueue : Elements can be added to the back of the queue, adding a new element to the end of the queue.
- Dequeue : The front element can be removed from the queue by performing a dequeue operation, effectively removing the first element that was added to the queue.
- Peek : The front element can be inspected without removing it from the queue using a peek operation.
- IsEmpty : A check can be made to determine if the queue is empty.
- Size : The number of elements in the queue can be determined using a size operation.
These are some of the most common operations performed on queues. The specific operations and algorithms used may vary based on the requirements of the problem and the programming language used. Queues are commonly used in applications such as scheduling tasks, managing communication between processes, and many others.
Real-Life Applications of Queue:
- A real-world example of a queue is a single-lane one-way road, where the vehicle that enters first will exit first.
- A more real-world example can be seen in the queue at the ticket windows.
- A cashier line in a store is also an example of a queue.
- People on an escalator
Want to get started with Queue? You can try out our curated articles and lists for the best practice:
- Introduction to Queue Data Structure
- Practice Queue problem on GeeksforGeeks
Tree:
A tree is a non-linear and hierarchical data structure where the elements are arranged in a tree-like structure. In a tree, the topmost node is called the root node. Each node contains some data, and data can be of any type. It consists of a central node, structural nodes, and sub-nodes which are connected via edges. Different tree data structures allow quicker and easier access to the data as it is a non-linear data structure. A tree has various terminologies like Node, Root, Edge, Height of a tree, Degree of a tree, etc.
There are different types of Tree-like
Characteristics of a Tree:
The tree has various different characteristics which are as follows:
- A tree is also known as a Recursive data structure.
- In a tree, the Height of the root can be defined as the longest path from the root node to the leaf node.
- In a tree, one can also calculate the depth from the top to any node. The root node has a depth of 0.
Applications of Tree:
Different applications of Tree are as follows:
- Heap is a tree data structure that is implemented using arrays and used to implement priority queues.
- B-Tree and B+ Tree are used to implement indexing in databases.
- Syntax Tree helps in scanning, parsing, generation of code, and evaluation of arithmetic expressions in Compiler design.
- K-D Tree is a space partitioning tree used to organize points in K-dimensional space.
- Spanning trees are used in routers in computer networks.
Operation performed on tree:
A tree is a non-linear data structure that consists of nodes connected by edges. Here are some common operations performed on trees:
- Insertion : New nodes can be added to the tree to create a new branch or to increase the height of the tree.
- Deletion : Nodes can be removed from the tree by updating the references of the parent node to remove the reference to the current node.
- Search : Elements can be searched for in a tree by starting from the root node and traversing the tree based on the value of the current node until the desired node is found.
- Traversal : The elements in a tree can be traversed in several different ways, including in-order, pre-order, and post-order traversal.
- Height : The height of the tree can be determined by counting the number of edges from the root node to the furthest leaf node.
- Depth : The depth of a node can be determined by counting the number of edges from the root node to the current node.
- Balancing : The tree can be balanced to ensure that the height of the tree is minimized and the distribution of nodes is as even as possible.
These are some of the most common operations performed on trees. The specific operations and algorithms used may vary based on the requirements of the problem and the programming language used. Trees are commonly used in applications such as searching, sorting, and storing hierarchical data.
Real-Life Applications of Tree:
- In real life, tree data structure helps in Game Development.
- It also helps in indexing in databases.
- A Decision Tree is an efficient machine-learning tool, commonly used in decision analysis. It has a flowchart-like structure that helps to understand data.
- Domain Name Server also uses a tree data structure.
- The most common use case of a tree is any social networking site.
Want to get started with Tree? You can try out our curated articles and lists for the best practice:
- Introduction to Tree Data Structure
- Top 50 Tree Interview Questions
- Practice Tree problem on GeeksforGeeks
Graph:
A graph is a non-linear data structure that consists of vertices (or nodes) and edges. It consists of a finite set of vertices and set of edges that connect a pair of nodes. The graph is used to solve the most challenging and complex programming problems. It has different terminologies which are Path, Degree, Adjacent vertices, Connected components, etc.
Characteristics of Graph:
The graph has various different characteristics which are as follows:
- The maximum distance from a vertex to all the other vertices is considered the Eccentricity of that vertex.
- The vertex having minimum Eccentricity is considered the central point of the graph.
- The minimum value of Eccentricity from all vertices is considered the radius of a connected graph.
Applications of Graph:
Different applications of Graphs are as follows:
- The graph is used to represent the flow of computation.
- It is used in modeling graphs.
- The operating system uses Resource Allocation Graph.
- Also used in the World Wide Web where the web pages represent the nodes.
Operation performed on Graph:
A graph is a non-linear data structure consisting of nodes and edges. Here are some common operations performed on graphs:
- Add Vertex: New vertices can be added to the graph to represent a new node.
- Add Edge: Edges can be added between vertices to represent a relationship between nodes.
- Remove Vertex : Vertices can be removed from the graph by updating the references of adjacent vertices to remove the reference to the current vertex.
- Remove Edge : Edges can be removed by updating the references of the adjacent vertices to remove the reference to the current edge.
- Depth-First Search (DFS) : A graph can be traversed using a depth-first search by visiting the vertices in a depth-first manner.
- B readth-First Search (BFS): A graph can be traversed using a breadth-first search by visiting the vertices in a breadth-first manner.
- Shortest Path: The shortest path between two vertices can be determined using algorithms such as Dijkstra’s algorithm or A* algorithm.
- Connected Components : The connected components of a graph can be determined by finding sets of vertices that are connected to each other but not to any other vertices in the graph.
- Cycle Detection : Cycles in a graph can be detected by checking for back edges during a depth-first search.
These are some of the most common operations performed on graphs. The specific operations and algorithms used may vary based on the requirements of the problem and the programming language used. Graphs are commonly used in applications such as computer networks, social networks, and routing problems.
Real-Life Applications of Graph:
- One of the most common real-world examples of a graph is Google Maps where cities are located as vertices and paths connecting those vertices are located as edges of the graph.
- A social network is also one real-world example of a graph where every person on the network is a node, and all of their friendships on the network are the edges of the graph.
- A graph is also used to study molecules in physics and chemistry.
Want to get started with Graph? You can try out our curated articles and lists for the best practice:
- Introduction to Graph Data Structure
- Top 50 Graph Interview Questions
- Practice Graph problem on GeeksforGeeks
Advantages of data structure:
- Improved data organization and storage efficiency.
- Faster data retrieval and manipulation.
- Facilitates the design of algorithms for solving complex problems.
- Eases the task of updating and maintaining the data.
- Provides a better understanding of the relationships between data elements.
Disadvantage of Data Structure:
- Increased computational and memory overhead.
- Difficulty in designing and implementing complex data structures.
- Limited scalability and flexibility.
- Complexity in debugging and testing.
- Difficulty in modifying existing data structures.
Reference:
Data structures can be found in various computer science textbooks and online resources. Some popular texts include:
- “Introduction to Algorithms” by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein.
- “Data Structures and Algorithm Analysis in Java” by Mark Allen Weiss.
- “The Algorithm Design Manual” by Steven S. Skiena.
- Online resources such as Coursera, Udemy, and Khan Academy also offer courses on data structures and algorithms.
Conclusion
Although these are the most widely known and used data structures, there are some other forms of data structures as well which are used in Computer Science, such as policy-based data structures , etc. But no matter which data structure you choose, each one has its perks and disadvantages, without the knowledge of which, it can be very costly to choose the wrong type of data structure. So it is very important to understand the need of the situation, and then decide which kind of data structure suits best for the job.
