Important Tree Terminology

Duration: 7 min

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Inside: a video lesson and guided study material.

Module outline

  1. General Intelligence & Reasoning: Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Data Sufficiency, Puzzle Solving (Puzzles), Data Arrangement, Cubes & Dices, Calendar, Clock, Arithmetic, Number System, HCF LCM, Verbal Analogy (Word Based Analogy), Visual Recognition and Figure Completion, Paper Folding and Cutting, Transformation of Shapes, Clocks and Calendars, Direction Sense, Cubes and Dice, Patterns in Two-Dimensional Figures, Seating Arrangements, Analogy and Classification, Logical Deduction and Induction, Alphabet and Word Tests, Mathematical Operations, Series Completion, Simplification and Approximation, Coding and Decoding, Numerical Reasoning, Assembling and Grouping of Shapes, Three-Dimensional Patterns and Visualization, Vocabulary, Number System, Averages, Mixtures and Alligation, Simple and Compound Interest, Percentages, Algebra, Speed, Time and Distance, Seating and Arrangement Puzzles, Traverse Surveying, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Reading Comprehension, Critical Reasoning, Permutations and Combinations, Narrative Sequencing, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Ratio and Proportion, Time and Work, Mensuration, Data Interpretation, Powers, Surds and Logarithms, Sequences and Series, Articles and Determiners, Sentence Completion, Data Sufficiency, Blood Relations, Simple Interest and Compound Interest, Mixture and Alligation, Sequence and Series (Series), Speed Time and Distance, Algebra, Profit and Loss, Powers and Exponents (Surds and Indices), Permutation and Combination
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs, Artificial Intelligence, MS Office Applications, Terms & Abbreviations, Keyboard Shortcuts, Evolution of Indian Banking (Banking & Financial Awareness), Emerging Tech Trends
  3. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus, Probability, Statistics, Signal Space and Optimum Detection, Probability, Statistics
  4. Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Number Systems and Codes, Registers and Counters, Boolean Algebra and Logic Gates, Microprocessors and Microcontrollers, Logic Families and CMOS Logic, Microprocessors, Logic Gates and Boolean Algebra, Minimization of Boolean Functions, Timing, Hazards and Testing, Logic Families, Combinational Logic Design, Arithmetic Circuits, Waveform Generators and Timer Circuits, Semiconductor Memories and Programmable Logic Devices, Combinational Logic Circuits, Latches and Flip-Flops, Finite State Machines, Sequential Circuits and State Machines, Minimization of Boolean Functions, Arithmetic Circuits, Latches and Flip-Flops, Number Systems and Codes, Registers and Counters
  5. Computer Organisation & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer, Register Transfer and Microoperations, Semiconductor Memories and Programmable Logic, Processor Organization and Instructions, Memory Hierarchy and Input/Output, Registers and Counters
  6. 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, HTML Basics, OOPS with C++, Java, Object Oriented Technology
  7. Databases: 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, Database Recovery, Database Security & Authorization
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  9. 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, Complexity Theory
  10. 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. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Security, Windows OS, Distributed Systems, Unix OS, Linux OS
  12. Computer Networks: Introduction to CN, 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, Data Communication, Website, Browser & Services, Web Design & Development, Network Security, Cyber Threats and Malware Attacks, Cyber Safety and Security
  13. Full Length Mock Tests:
  14. Sectional 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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