Important Tree Terminology

Duration: 7 min

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Module outline

  1. About the Course: About the Course
  2. Section 1 | Language (Hindi): भाषा, लिपि, ध्वनि, वर्ण, अक्षर, स्वर, व्यंजन, मात्रा और संयुक्ताक्षर, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, विशेषण और क्रिया, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, मुहावरे और लोकोक्तियाँ, अपठित गद्यांश और अपठित पद्यांश, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  3. Section 1 | Language (उर्दू भाषा — 22 प्रश्न (निश्चित)): Spelling & Diacritics, Grammar (اسم, فعل, صفت, ضمیر), Vocabulary, Idioms & Proverbs, Comprehension
  4. Section 1 | Language (বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)): Bangla Script and Sounds, Bangla Grammar and Usage, Bangla Word Formation and Vocabulary, Reading and Text Interpretation
  5. Section 1 | Language (English): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Pronoun, Verb, Adverb, Preposition, Articles, Determiner, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Facts, Inference and Judgements
  6. Section 2 | Primary Maths & Reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Mensuration and Geometry, Age Problems, Arithmetic, Powers and Exponents (Surds and Indices), Algebra, Probability, Trigonometry, Syllogisms, Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence
  7. Section 2 | General Awareness (GK + Current Affairs): Polity, Physics, Biology, State Wise GK, Chemistry, History, Geography, Indian Economy, Environment, GK- Current Affairs, Static General Knowledge
  8. Section 3 | Computer System and Org. (CSO): Basics of COA, Floating Point Rep, Cache Memory Organization, Instr Formats & Modes, Programming the Basic Computer, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design
  9. Section 3 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control
  10. Section 3 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Process Synchronization
  11. Section 3 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  12. Section 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Shortest Path Algos
  13. Section 3 | Theory Of Computation & Compiler Design: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  14. Section 3 | Emerging Trends (AI, Societal Ethics & MS Office): Artificial Intelligence, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications
  15. Section 3 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Maintenance and Configuration Management, Software Testing
  16. Section 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Section 3 | OOPS, C++, JAVA, HTML: OOPS with C++, Java, HTML Basics, CSS
  18. Section 3 | Java: Java Fundamentals, Array, String, IO & References
  19. Section 3 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  20. Section 3 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  21. Section 3 | Multimedia: Multimedia
  22. BPSC Previous Year Papers:
  23. BPSC Full Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video delivers a comprehensive lecture on the fundamental terminology and properties of tree data structures. It begins by establishing the "Root" as the singular origin point of any tree. The instructor then transitions to "Edges," explaining the mathematical relationship between nodes and links. The core of the lesson covers hierarchical relationships like "Parent" and "Child," distinguishing between "Leaf" and "Internal" nodes. Finally, the lecture defines structural metrics such as "Degree" and "Level," explains "Paths," and concludes with the definition and memory representation of a "Binary tree." This structured approach ensures students grasp the basic building blocks before moving to specific tree types. The instructor uses clear diagrams and handwritten notes to reinforce these concepts.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The session opens with the definition of the "Root" node. The slide text explicitly states, "The first/Top most node is called as Root Node. We always have exactly one root node in every tree." The instructor uses a diagram where node 'A' is circled in blue to visually identify it as the root. He underlines the phrase "exactly one root node in every tree" to stress its uniqueness. He explains that the root node is the origin of the tree data structure, from which all other nodes branch out. The visual aid clearly shows 'A' at the top with lines connecting downwards to other nodes like 'B' and 'C'. He emphasizes that the root is the starting point for all traversals.

  2. 2:00 – 5:00 02:00-05:00

    The topic shifts to "Edge," defined on the slide as "the connecting link between any two nodes." A crucial formula is presented: "In a tree with 'N' number of nodes there will be exactly of 'N-1' number of edges." To prove this, the instructor writes handwritten notes on the screen: "|V| = 11" for vertices (nodes) and "|E| = 10" for edges. He physically draws red lines through the connections in the diagram to count them, verifying that there are indeed 10 edges for 11 nodes. He emphasizes that an edge is simply a link between two nodes, and the N-1 rule is a fundamental property of trees. He counts the edges one by one to verify the total.

  3. 5:00 – 7:24 05:00-07:24

    The lecture defines hierarchical relationships. "Parent" nodes are predecessors, with the slide stating "Here A, B, C, E & G are Parent nodes". Conversely, "Child" nodes are descendants, such as "B & C are Children of A". "Leaf" or "External" nodes are identified as those with no children, listed as "D, I, J, F, K & H are Leaf nodes". This contrasts with "Internal Nodes" which have at least one child, listed as "A, B, C, E & G are Internal nodes". The "Degree" of a node is the total number of children it has; the slide notes "Degree of B is 3", "Degree of A is 2", and "Degree of F is 0". The "Degree of Tree" is the highest degree allowed. "Level" counting starts at 0 for the root, with children at Level 1. A "Path" is a sequence of nodes and edges, with the example "Path between A & J is A - B - E - J" having length 4. The video concludes with "Binary tree" definition, noting nodes have max two children, and shows a C-struct code snippet for linked representation: `struct node { int data; struct node* left; struct node* right; }`.

The video provides a structured vocabulary for tree data structures, progressing logically from the single root node to the connections (edges) and then to the complex relationships between nodes (parent/child). It solidifies understanding through visual counting of edges and clear definitions of structural properties like degree and level, culminating in the specific case of binary trees and their implementation. This progression from simple definitions to complex structures prepares students for advanced algorithms. By the end, students have a complete glossary of tree terms.

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