Deletion in AVL

Duration: 8 min

This video lesson is available to enrolled students.

Return to /learn/TPSC-ASSISTANT-TECHNICAL-OFFICER/data-structures-and-programming/tree/avl-trees-balancing/asset-deletion-in-avl after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Paper 2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Paper 2 | Computer Organization And Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Control Unit Design, Instr Formats & Modes, Programming the Basic Computer
  4. Paper 2 | Analog And Digital Communication: Introduction to Communication Systems & Random Signals, Analog Communication Systems, Information Theory & Digital Communication Fundamentals, Digital Modulation & Detection Techniques, Error Control, Synchronization & Multiple Access Techniques
  5. Paper 2 | Programming in C: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. Paper 2 | Data Structures And Programming: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  7. Paper 2 | Algorithms: Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  8. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  9. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS
  10. Paper 2 | Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  11. Paper 2 | Information Systems and Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Paper 2 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware Basics
  13. Paper 2 | Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, HTML Basics, JavaScript-Basics, CSS, XML, HTML5
  14. Paper 2 | Cyber Security And Emerging Technologies: Emerging Tech Trends
  15. Paper 2 | Cloud Technology: Cloud Computing
  16. Paper 2 | Probability and statistics: Probability, Statistics
  17. Paper-1 English: Vocabulary, Preposition, Articles, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Cloze Test (Cloze Passage), Sentence Construction
  18. Paper 1 General Mental Ability & Logical reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Powers and Exponents (Surds and Indices), Algebra, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Arithmetic, Speed Mathematics and Basic Mathematics, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Venn Diagram, Analogy
  19. Paper-1 General Knowledge & Current Affairs: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge
  20. Full Length Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video is an educational lecture on "Deletion in an AVL tree" presented by Sanchit Jain Sir from Knowledge Gate. The instructor tackles a specific problem: deleting a sequence of nodes (2, 3, 10, 18, 4, 9, 14, 7, 15) from a given AVL tree. He systematically demonstrates the deletion process, illustrating how the tree structure evolves and how rebalancing rotations are applied to maintain the AVL property. The lecture includes both practical examples with hand-drawn trees and theoretical explanations using a classification diagram for deletion cases (L0, L1, R0, R1) and their corresponding rotations (RR, RL, LL, LR). The goal is to provide students with a clear understanding of the mechanics of node deletion in balanced binary search trees, ensuring they can handle complex scenarios involving multiple deletions and rotations.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with the question "Q delete the following nodes in sequence 2, 3, 10, 18, 4, 9, 14, 7, 15?". An initial AVL tree is drawn with root 14. The left subtree has root 4, with children 3 and 9. Node 3 has child 2. Node 9 has children 7 and 10. The right subtree has root 21, with children 15 and 28. Node 15 has child 18. Node 28 has children 26 and 30. The instructor crosses out '2' and '3' from the sequence. He then draws a new tree on the right to show the result. The new tree has root 14, left child 9, and right child 21. This shows the immediate effect of deleting the leftmost nodes and the initial rebalancing. The visual cue of the crossed-out numbers helps track the progress. The instructor explains that deleting 2 and 3 causes an imbalance, requiring a rotation.

  2. 2:00 – 5:00 02:00-05:00

    The instructor proceeds to cross out the remaining nodes in the sequence: 10, 18, 4, 9, 14, 7, 15. He draws intermediate trees to illustrate the rebalancing process. A significant theoretical diagram is introduced, titled "AVL Deletion". It branches into "L" and "R". "L" further branches into "L0", "L1", "L1". "R" branches into "R0", "R1", "R1". Below these, specific rotations are listed: "RR" under "L0", "RL" under "L1", "RR" under "L1", "LL" under "R0", "LL" under "R1", and "LR" under "R1". This diagram categorizes deletion scenarios to guide the choice of rotation (Right-Right, Right-Left, Left-Left, Left-Right) needed to restore balance. The instructor points to different parts of the diagram to explain the logic. He emphasizes that the balance factor determines the type of rotation required.

  3. 5:00 – 8:15 05:00-08:15

    The instructor completes the deletion sequence, crossing off all nodes. He draws the final balanced AVL tree. The final tree has root 21. The left child is 14, and the right child is 28. Under 14, there are children 7 and 15. Under 15, there is a right child 18. Under 28, there are children 26 and 30. He explains that after deleting all specified nodes, the tree must be rebalanced at each step. The final structure is a valid AVL tree, demonstrating the successful completion of the deletion process. The video ends with the instructor summarizing the key takeaways from the example, emphasizing the importance of maintaining balance. He reiterates that each deletion can trigger a cascade of rotations.

The lecture effectively combines practical demonstration with theoretical concepts. By walking through a specific sequence of deletions, the instructor illustrates the dynamic nature of AVL trees and the necessity of rotations. The classification diagram serves as a crucial reference for students to identify the correct rotation type based on the balance factor and the position of the deleted node. This comprehensive approach ensures students understand both the "how" and the "why" of AVL tree deletion, bridging the gap between abstract theory and concrete application.

Loading lesson…