Important Tree Terminology

Duration: 7 min

This video lesson is available to enrolled students.

Return to /learn/TPSC-ASSISTANT-TECHNICAL-OFFICER/data-structures-and-programming/tree/binary-tree-basics-props/asset-important-tree-terminology 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.

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.

Loading lesson…