Practice Question-2 (BFS)

Duration: 2 min

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Module outline

  1. About Course: About the Course
  2. Paper-2 | Programming & Data Structures: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  3. Paper-2 | Databases / DBMS & SQL: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control
  4. Paper-2 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  5. Paper-2 | Computer Networks & Security: 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, Network Access Technologies, Network Security
  6. 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
  7. 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
  8. Paper-2 | Theory of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  9. Paper-2 | Computer Organization & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer
  10. 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
  11. Paper-1 | General Awareness: Polity, Physics, Biology, Chemistry, Static General Knowledge, GK- Current Affairs, History, Geography, Indian Economy, Environment
  12. Paper-1 | Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Data Interpretation, Blood Relations, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Clock, Calendar, Cubes & Dices, Directions (Direction Test), Analogy, Seating Arrangements, Analytical Reasoning (Counting Figures Reasoning)
  13. Paper-1 | Quantitative Aptitude: Ratio and Proportion (Ratios), Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Speed Time and Distance, Average, Age Problems, Percentage, Profit and Loss, Time and Work, Pipe and Cistern, Simple Interest and Compound Interest, Powers and Exponents (Surds and Indices), Mensuration and Geometry, Probability, Statistics, Arithmetic, Algebra
  14. Paper-1 | English: Vocabulary, 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), Sentence Construction, Cloze Test (Cloze Passage)
  15. Coal India Previous Year Paper:
  16. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus
  17. Coal India Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video segment addresses a GATE-2017 multiple-choice question on Breadth First Search (BFS) traversal. The problem requires identifying a valid node visiting order for a specific graph using a queue data structure. Four options are presented: MNOPQR, NQMPOR, QMNROP, and POQNMR. The instructor systematically evaluates each sequence against the graph's connectivity rules inherent to BFS, which mandates layer-by-layer exploration. By analyzing adjacency and queue behavior, the instructor eliminates incorrect options (a, b, c) based on violations of traversal logic. The session concludes by validating option (d), POQNMR, as the correct sequence that satisfies the BFS constraints for the given graph structure.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video introduces a GATE-2017 problem asking for a possible BFS visiting order using a queue. Visible text displays the question: 'Which one of the following is a possible order of visiting the nodes in the graph above?' alongside options (a) MNOPQR, (b) NQMPOR, (c) QMNROP, and (d) POQNMR. The instructor begins analyzing the graph structure involving nodes M, N, O, P, Q, R. Evidence includes on-screen text highlighting 'Breath First Search (BFS) has been implemented using queue data structure' and the specific graph nodes listed. The instructor focuses on checking adjacency list orders to verify if sequences respect BFS layer-by-layer traversal properties.

  2. 2:00 – 2:17 02:00-02:17

    In the final segment, the instructor completes the evaluation of the BFS options. The visible evidence shows the instructor crossing out incorrect answers (a, b, and c) while validating option (d). The text on screen confirms the graph nodes M, N, Q, R, O, P. The instructor selects option (d) POQNMR as the correct answer because it aligns with queue-based traversal logic. This conclusion is drawn from eliminating impossible node sequences that violate the connectivity rules of the provided graph.

The lecture segment effectively demonstrates the application of Breadth First Search (BFS) traversal logic through a specific GATE-2017 examination problem. The core concept tested is the strict adherence to queue-based, layer-by-layer node visitation in graph theory. The instructor's method involves verifying each multiple-choice option against the graph's adjacency constraints, ensuring that neighbors are visited before their children. By systematically eliminating options (a), (b), and (c) due to logical inconsistencies with the graph structure, the instructor isolates option (d), POQNMR, as the only valid sequence. This approach reinforces the importance of understanding queue mechanics in BFS algorithms for solving traversal problems.

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