Advanced Data Structures Last Updated : 12 Dec, 2024 Comments Improve Suggest changes Like Article Like Report Advanced Data Structures refer to complex and specialized arrangements of data that enable efficient storage, retrieval, and manipulation of information in computer science and programming. These structures go beyond basic data types like arrays and lists, offering sophisticated ways to organize and manage data for optimal performance in various algorithms and applications.Self Balancing BSTs:AVL Tree:Introduction to AVL TreeInsertion in AVL TreeDeletion in an AVL TreeAVL with duplicate keysSplay Tree:Introduction to Splay tree data structureSearching in Splay TreeInsertion in Splay TreeB-Tree:Introduction of B-TreeInsert Operation in B-TreeDelete Operation in B-TreeRed-Black Tree:Introduction to Red-Black TreeInsertion in Red-Black TreeDeletion in Red-Black TreeScape Goat Tree and Treap:ScapeGoat Tree | (Introduction and Insertion)Treap (A Randomized Binary Search Tree)Implementation of Search, Insert and Delete in TreapDisjoint Set:IntroductionDisjoint Set Union on TreesUnion By Rank and Path Compression in Union-Find Algorithm Disjoint Set Data Structure Problems Trie:IntroductionInsert and SearchDeletePattern Searching using a Trie of all SuffixesLongest Common PrefixImplement a Phone DirectoryWeighted Prefix SearchBogglePalindrome pair in an array of words (or strings)How to Implement Reverse DNS Look Up Cache?Segment Tree:Introduction Range minimum queryLazy PropagationPersistent Segment TreeRange Minimum Query (Square Root Decomposition and Sparse Table)Min-Max Range queries in arrayLCA in a binary tree using RMQIntroduction to Heavy Light DecompositionReconstructing Segment TreeLongest Common Extension / LCE using Segment TreeBinary Indexed Tree:Binary Indexed Tree or Fenwick TreeTwo Dimensional Binary Indexed Tree or Fenwick TreeBinary Indexed Tree : Range Updates and Point QueriesBinary Indexed Tree : Range Update and Range Queriesproto van Emde Boas Trees | Background and IntroductionSuffix Array and Suffix TreeSuffix Array IntroductionSuffix Tree IntroductionUkkonen’s Suffix Tree Construction – Part 1Generalized Suffix TreeSuffix Tree Application 1 – Substring CheckK-Dimensional Tree:Search and Insertion in K Dimensional treeFind minimum in K Dimensional TreeDeletion in K Dimensional TreeSome other Data Structure:Palindromic Tree | Introduction & ImplementationTernary Search TreeInterval TreeBK-Tree | Introduction & ImplementationCartesian TreeSparse SetGomory-Hu TreePersistent Data StructureAdvanced Lists:Generic Linked List in CMemory efficient Doubly Linked ListXOR Linked List | Set 1XOR Linked List | Set 2Skip ListSelf-Organizing ListUnrolled Linked Listn-ary Tree:Generic Trees (N-ary Tree)Mirror of n-ary TreeDiameter of an N-ary treeDepth of an N-Ary treeHeight of n-ary tree if parent array is givenNumber of ways to traverse an N-ary treeNumber of siblings of a given Node in n-ary TreeNext Larger element in n-ary treeSerialize and Deserialize an N-ary TreeDFS for a n-ary tree (acyclic graph) represented as adjacency listQuick Links:Trie Practice ProblemsSegment Tree Practice ProblemsRecommended:Learn Data Structure and Algorithms | DSA Tutorial Comment More infoAdvertise with us Next Article Data Structure Alignment : How data is arranged and accessed in Computer Memory? H harendrakumar123 Follow Improve Article Tags : Algorithms Advanced Data Structure Data Structures Practice Tags : Advanced Data StructureAlgorithmsData Structures Similar Reads Data Structures Tutorial Data structures are the fundamental building blocks of computer programming. They define how data is organized, stored, and manipulated within a program. Understanding data structures is very important for developing efficient and effective algorithms. What is Data Structure?A data structure is a st 2 min read Introduction to Data Structures What is Data Structure?A data structure is a particular way of organising data in a computer so that it can be used effectively. The idea is to reduce the space and time complexities of different tasks. The choice of a good data structure makes it possible to perform a variety of critical operations 7 min read Data Structure Types, Classifications and Applications A data structure is a storage that is used to store and organize data. It is a way of arranging data on a computer so that it can be accessed and updated efficiently.A data structure organizes, processes, retrieves, and stores data, making it essential for nearly every program or software system. To 7 min read Overview of Data StructuresIntroduction to Linear Data StructuresLinear Data Structures are a type of data structure in computer science where data elements are arranged sequentially or linearly. Each element has a previous and next adjacent, except for the first and last elements. Characteristics of Linear Data Structure:Sequential Organization: In linear data s 8 min read Introduction to Hierarchical Data StructureWe have discussed Overview of Array, Linked List, Queue and Stack. In this article following Data Structures are discussed. 5. Binary Tree 6. Binary Search Tree 7. Binary Heap 8. Hashing Binary Tree Unlike Arrays, Linked Lists, Stack, and queues, which are linear data structures, trees are hierarchi 13 min read Overview of Graph, Trie, Segment Tree and Suffix Tree Data StructuresIntroduction:Graph: A graph is a collection of vertices (nodes) and edges that represent relationships between the vertices. Graphs are used to model and analyze networks, such as social networks or transportation networks.Trie: A trie, also known as a prefix tree, is a tree-like data structure that 10 min read Different Types of Data StructuresArray Data StructureComplete Guide to ArraysLearn more about Array in DSA Self Paced CoursePractice Problems on ArraysTop Quizzes on Arrays What is Array?An array is a collection of items stored at contiguous memory locations. The idea is to store multiple items of the same type together. This makes it easier to calcul 3 min read String in Data StructureA string is a sequence of characters. The following facts make string an interesting data structure.Small set of elements. Unlike normal array, strings typically have smaller set of items. For example, lowercase English alphabet has only 26 characters. ASCII has only 256 characters.Strings are immut 3 min read Stack Data StructureA Stack is a linear data structure that follows a particular order in which the operations are performed. The order may be LIFO(Last In First Out) or FILO(First In Last Out). LIFO implies that the element that is inserted last, comes out first and FILO implies that the element that is inserted first 3 min read Queue Data StructureA Queue Data Structure is a fundamental concept in computer science used for storing and managing data in a specific order. It follows the principle of "First in, First out" (FIFO), where the first element added to the queue is the first one to be removed. It is used as a buffer in computer systems 2 min read Linked List Data StructureA linked list is a fundamental data structure in computer science. It mainly allows efficient insertion and deletion operations compared to arrays. Like arrays, it is also used to implement other data structures like stack, queue and deque. Here’s the comparison of Linked List vs Arrays Linked List: 3 min read Introduction to Tree Data StructureTree 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 Heap Data StructureA Heap is a complete binary tree data structure that satisfies the heap property: for every node, the value of its children is greater than or equal to its own value. Heaps are usually used to implement priority queues, where the smallest (or largest) element is always at the root of the tree.Basics 2 min read Hashing in Data StructureHashing is a technique used in data structures that efficiently stores and retrieves data in a way that allows for quick access. Hashing involves mapping data to a specific index in a hash table (an array of items) using a hash function. It enables fast retrieval of information based on its key. The 3 min read Graph AlgorithmsGraph is a non-linear data structure like tree data structure. The limitation of tree is, it can only represent hierarchical data. For situations where nodes or vertices are randomly connected with each other other, we use Graph. Example situations where we use graph data structure are, a social net 3 min read Matrix Data StructureMatrix Data Structure is a two-dimensional array arranged in rows and columns. It is commonly used to represent mathematical matrices and is fundamental in various fields like mathematics, computer graphics, and data processing. Matrices allow for efficient storage and manipulation of data in a stru 2 min read Advanced Data StructuresAdvanced Data Structures refer to complex and specialized arrangements of data that enable efficient storage, retrieval, and manipulation of information in computer science and programming. These structures go beyond basic data types like arrays and lists, offering sophisticated ways to organize and 2 min read Data Structure Alignment : How data is arranged and accessed in Computer Memory? Data structure alignment is the way data is arranged and accessed in computer memory. Data alignment and Data structure padding are two different issues but are related to each other and together known as Data Structure alignment. Data alignment: Data alignment means putting the data in memory at an 4 min read Static Data Structure vs Dynamic Data Structure Data structure is a way of storing and organizing data efficiently such that the required operations on them can be performed be efficient with respect to time as well as memory. Simply, Data Structure are used to reduce complexity (mostly the time complexity) of the code. Data structures can be two 4 min read Static and Dynamic Data Structures Data structures are the fundamental building blocks of computer programming. They determine how data is organized, stored, and manipulated within a software application. There are two main categories of data structures: static and dynamic. Static data structures have a fixed size and are allocated i 9 min read Common operations on various Data Structures Data Structure is the way of storing data in computer's memory so that it can be used easily and efficiently. There are different data-structures used for the storage of data. It can also be defined as a mathematical or logical model of a particular organization of data items. The representation of 15+ min read Real-life Applications of Data Structures and Algorithms (DSA) You may have heard that DSA is primarily used in the field of computer science. Although DSA is most commonly used in the computing field, its application is not restricted to it. The concept of DSA can also be found in everyday life. Here we'll address the common concept of DSA that we use in our d 10 min read Like