Binomial Heap

Duration: 19 min

This video lesson is available to enrolled students.

Return to /learn/UP-LT-GRADE-ASSISTANT-TEACHER-2025/cs-03-data-structures-and-algorithm/tree/advanced-heap/asset-binomial-heap after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. CS | 01 | Digital Logic and Circuits and Discrete Mathematical Structures: Digital Systems & Boolean Basics, Number System, Number Representation, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Permutation and Combination
  3. CS | 02 | Computer Organization and Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Multiprocessors
  4. CS | 03 | Data Structures and Algorithm: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Complexity Theory, Advanced Algorithms
  5. CS | 04 | Problem Solving through C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. CS | 05 | Object Oriented Techniques: Object Oriented Technology, Java
  7. CS | 06 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Unix OS
  8. CS | 07 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Query Processing & Optimization, File Organization & Indexing
  9. CS | 08 | 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
  10. CS | 09 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  11. CS | 10 | Internet Technology, Web Design and Web Technology: Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, JavaScript-Basics, HTML Basics
  12. CS | 11 | System Analysis And Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance
  13. CS | 12 | Information Security and Cyber Laws: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security
  14. CS | 13 | Computer Graphics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing
  15. GS Paper | 01 | Indian and World Geography: Geography
  16. GS Paper | 02 | History: History
  17. GS Paper | 03 | Indian Economy & Social Development: Indian Economy
  18. GS Paper | 04 | General Science: Biology, Chemistry, Physics
  19. GS Paper | 05 | Elementary Maths: Number System, Divisibility Rules, HCF LCM, Percentage, Profit and Loss, Simple Interest and Compound Interest, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Algebra, Mensuration and Geometry, Data Interpretation, Arithmetic, Statistics, Probability, Sequence and Series (Series), Mixture and Alligation, Calculus, Trigonometry, Vectors
  20. GS Paper | 06 | Indian Polity and Governance: Polity
  21. GS Paper | 07 | Current Events: GK- Current Affairs
  22. UPLT Live Classes Notes: UPLT Live Classes
  23. UPLT Full Mock Tests Tier 1:
  24. UPLT Full Mock Tests Tier 2:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The instructor explains that a Binomial Tree Bk is formed by linking two Binomial Trees of order k-1. The instructor also details the properties of Binomial Trees, including node counts at specific depths using binomial coefficients and the total number of edges. Visible evidence includes Introduction to Binomial Heap definition; Definition of Base Case for Binomial Tree B0.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the concept of a Binomial Heap as a collection of Binomial Trees. The slide outlines the recursive definition of a Binomial Tree, starting with a base case where B0 is a single node.

  2. 2:00 – 5:00 02:00-05:00

    The instructor is explaining the concept of ordered versus unordered trees within the context of Binomial Trees. He draws two tree structures I and II to demonstrate that while they contain the same nodes,.

  3. 5:00 – 10:00 05:00-10:00

    The instructor illustrates the recursive construction of Binomial Trees (B0 through B4) by linking two smaller trees. He demonstrates how a tree of order k is formed by attaching the root of B(k-1) as a child to the root of another.

  4. 10:00 – 15:00 10:00-15:00

    The instructor is explaining the properties of Binomial Trees, specifically focusing on their structure and node counts. He illustrates the progression from B0 to B4, highlighting how each tree is constructed recursively.

  5. 15:00 – 19:17 15:00-19:17

    The instructor is explaining the properties and structure of Binomial Heaps and Binomial Trees. The lesson covers recursive definitions, specifically how a Binomial Tree Bk is formed by linking two B(k-1) trees.

Across sampled screenshots, the lesson moves from The instructor also details the properties of Binomial Across the sampled windows, the explanation stays on the same visible problem instead of shifting to a new lesson segment. The frames show the instructor moving from prompt recognition toward option elimination and a final marked answer. This makes the clip useful for revision because the visual evidence supports one coherent explanation from opening to closing windows. Key visible evidence includes Introduction to Binomial Heap definition; Definition of Base Case for Binomial Tree B0. This summary is grounded in sampled frames, not full audio or transcript coverage. During 00:00-02:00, The instructor introduces the concept of a Binomial Heap as a collection of Binomial Trees. The slide outlines the recursive definition of a Binomial Tree, starting with a base case where B0 is a single node. During 02:00-05:00, The instructor is explaining the concept of ordered versus unordered trees within the context of Binomial Trees. He draws two tree structures I and II to demonstrate that while they contain the same nodes,. During 05:00-10:00, The instructor illustrates the recursive construction of Binomial Trees (B0 through B4) by linking two smaller trees. He demonstrates how a tree of order k is formed by attaching the root of B(k-1) as a child to the root of another. During 10:00-15:00, The instructor is explaining the properties of Binomial Trees, specifically focusing on their structure and node counts. He illustrates the progression from B0 to B4, highlighting how each tree is constructed recursively. During 15:00-19:17, The instructor is explaining the properties and structure of Binomial Heaps and Binomial Trees. The lesson covers recursive definitions, specifically how a Binomial Tree Bk is formed by linking two B(k-1) trees. The instructor introduces the concept of a Binomial Heap as a collection of Binomial Trees. The instructor explains that a Binomial Tree Bk is formed by linking two Binomial Trees of order k-1. The instructor is explaining the properties and structure of Binomial Heaps and Binomial Trees. The lesson covers recursive definitions, specifically how a Binomial Tree Bk is formed by linking two. The summary stays grounded in repeated evidence from the sampled screenshots.

Loading lesson…