4.2.7
Trees
Trees
Trees
Unlike other data structures in computer science, trees represent data hierarchically.
Roots and branches
Roots and branches
- Trees begin with a ‘root’ node, with one or more ‘branches’ beneath it.
- Each branch, in turn, can have one or more sub-branches connected to it.
Tree construction
Tree construction
- The rules for creating a tree are:
- Each node must only be connected to one ‘parent’ node and one or more ‘children’.
- There should be no connections directly between nodes on the same level of the hierarchy.
Tree traversal
Tree traversal
- There are three ways to navigate, or ‘traverse’ a tree data structure:
- Pre-order.
- In-order.
- Post-order.
Pre-order traversal
Pre-order traversal
- Pre-order traversal starts with the root node, then visits each of the other nodes from left to right.
- In the example shown, the nodes are visited in the following order:
- Tiger, Zebra, Lion, Gazelle, Giraffe, Rhino, Hippo, Elephant
In-order traversal
In-order traversal
- In-order traversal starts with the nodes in the left subtree, then visits the root node followed by the nodes in the right subtree.
- In this case, the nodes above are visited in the following order:
- Lion, Zebra, Gazelle, Giraffe, Tiger, Elephant, Hippo, Rhino.
Post-order traversal
Post-order traversal
- Post-order traversal starts by visiting the nodes in the left subtree from bottom to top, then the right subtree bottom to top, before finishing with a visit to the root node. - The nodes in the example above are therefore visited in the following order:
- Lion, Gazelle, Giraffe, Zebra, Elephant, Hippo, Rhino, Tiger.
1Components of a Computer
1.1Structure & Function of the Processor
1.2Types of Processors
1.3Input, Output & Storage
1.3.1Elements of Computer Systems
1.3.2Types of Computer Systems
1.3.3How Magnetic Storage Works
1.3.4Properties of Magnetic Storage
1.3.5Examples of Magnetic Storage
1.3.6How Optical Storage Works
1.3.7Properties of Optical Storage
1.3.8Examples of Optical Storage
1.3.9Types of Optical Disc
1.3.10Random Access Memory
1.3.11Read Only Memory
1.3.12Uses of Flash Memory
1.3.13Properties of Flash Memory
1.3.14What to do When We Run Out of Memory
1.3.15How Virtual Memory Works
2Software & Software Development
2.1Systems Software
2.2Applications Generation
2.2.1Applications Software
2.2.2Utilities
2.2.3Encryption Software
2.2.4Defragmentation Software
2.2.5Data Compression Software
2.2.6Backup Software
2.2.7Open Source Software
2.2.8Proprietary Software
2.2.9Licensing Issues
2.2.10Compilers
2.2.11Interpreters
2.2.12Assemblers
2.2.13Compiling a Program
2.2.14Lexical Analysis
2.2.15Compilation Stages
2.2.16Linkers, Loaders & Libraries
2.3Software Development
2.3.1Algorithmic Thinking
2.3.2Waterfall Lifecycle
2.3.3Waterfall Lifecycle - Strengths & Weaknesses
2.3.4Agile Methodology
2.3.5Agile Methodology - Strengths & Weaknesses
2.3.6Extreme Programming
2.3.7Extreme Programming - Strengths & Weaknesses
2.3.8Spiral Methodology
2.3.9Spiral Methodology - Strengths & Weaknesses
2.3.10Rapid Application Development
2.3.11RAD - Strengths & Weaknesse
2.4Types of Programming Language
3Exchanging Data
3.1Compression, Encryption & Hashing
3.2Databases
3.3Networks
3.3.1The Benefits of Networks
3.3.2Network Performance
3.3.3Types of Networks
3.3.4Network Protocols
3.3.5Transmission Protocols
3.3.6What is the Internet?
3.3.7Uniform Resource Locators
3.3.8Domain Name Service
3.3.9Web Hosting
3.3.10Layering Concepts
3.3.11TCP &. OSI Models
3.3.12The Advantages of Layering
3.3.13What's in a Packet?
3.3.14How do Packets get Routed?
3.3.15Did my Data Arrive Safely?
3.3.16Network Hardware
3.3.17Transmission Media
3.3.18Firewalls
3.3.19Proxies
3.3.20Client-Server Model
3.3.21Advantages of the Client Server Model
3.3.22Disadvantages of the Client Server Model
3.3.23Peer-to-Peer Model
3.3.24Advantages of the Peer-to-Peer Model
3.3.25Disadvantages of the Peer-to-Peer Model
4Data Types, Data Structures & Algorithms
4.1Data Types
4.1.1Data Types
4.1.2Casting
4.1.3Arrays
4.1.42D Arrays
4.1.5Strings
4.1.6Binary
4.1.7Sign & Magnitude
4.1.8Binary Addition
4.1.9Binary Shifts
4.1.10Hexadecimal
4.1.11Using Hexadecimal
4.1.12Converting Binary & Hexadecimal
4.1.13Converting Denary & Hexadecimal
4.1.14Floating Points in Binary
4.1.15Normalisation of Floating Points
4.1.16Floating Point Addition
4.1.17Floating Point Subtraction
4.1.18Bitwise Manipulation - Shifts
4.1.19Bitwise Manipulation - Masks
4.1.20Character Sets
4.1.21ASCII
4.1.22Unicode
4.2Data Structures
5Legal, Moral, Cultural & Ethical Issues
5.1Computing Related Legislation
5.2Moral & Ethical Issues
5.2.1Online Activity Tracking
5.2.2Censorship
5.2.3Positive Cultural Impacts
5.2.4Negative Cultural Impacts
5.2.5E-Waste
5.2.6Energy Consumption
5.2.7Positive Environmental Impact
5.2.8Layout, Colour Paradigms & Character Sets
5.2.9Computers in the Workplace
5.2.10Automated Decision-Making
5.2.11Artificial Intelligence
5.2.12Monitoring Behaviour
5.2.13Analysing Personal Information
5.2.14Piracy & Offensive Communication
6Elements of Computational Thinking
6.1Thinking Abstractly
6.2Thinking Ahead
6.3Thinking Procedurally
6.4Thinking Logically
6.5Thinking Concurrently
7Problem Solving & Programming
7.1Programming Techniques
7.2Programming Construction
Jump to other topics
1Components of a Computer
1.1Structure & Function of the Processor
1.2Types of Processors
1.3Input, Output & Storage
1.3.1Elements of Computer Systems
1.3.2Types of Computer Systems
1.3.3How Magnetic Storage Works
1.3.4Properties of Magnetic Storage
1.3.5Examples of Magnetic Storage
1.3.6How Optical Storage Works
1.3.7Properties of Optical Storage
1.3.8Examples of Optical Storage
1.3.9Types of Optical Disc
1.3.10Random Access Memory
1.3.11Read Only Memory
1.3.12Uses of Flash Memory
1.3.13Properties of Flash Memory
1.3.14What to do When We Run Out of Memory
1.3.15How Virtual Memory Works
2Software & Software Development
2.1Systems Software
2.2Applications Generation
2.2.1Applications Software
2.2.2Utilities
2.2.3Encryption Software
2.2.4Defragmentation Software
2.2.5Data Compression Software
2.2.6Backup Software
2.2.7Open Source Software
2.2.8Proprietary Software
2.2.9Licensing Issues
2.2.10Compilers
2.2.11Interpreters
2.2.12Assemblers
2.2.13Compiling a Program
2.2.14Lexical Analysis
2.2.15Compilation Stages
2.2.16Linkers, Loaders & Libraries
2.3Software Development
2.3.1Algorithmic Thinking
2.3.2Waterfall Lifecycle
2.3.3Waterfall Lifecycle - Strengths & Weaknesses
2.3.4Agile Methodology
2.3.5Agile Methodology - Strengths & Weaknesses
2.3.6Extreme Programming
2.3.7Extreme Programming - Strengths & Weaknesses
2.3.8Spiral Methodology
2.3.9Spiral Methodology - Strengths & Weaknesses
2.3.10Rapid Application Development
2.3.11RAD - Strengths & Weaknesse
2.4Types of Programming Language
3Exchanging Data
3.1Compression, Encryption & Hashing
3.2Databases
3.3Networks
3.3.1The Benefits of Networks
3.3.2Network Performance
3.3.3Types of Networks
3.3.4Network Protocols
3.3.5Transmission Protocols
3.3.6What is the Internet?
3.3.7Uniform Resource Locators
3.3.8Domain Name Service
3.3.9Web Hosting
3.3.10Layering Concepts
3.3.11TCP &. OSI Models
3.3.12The Advantages of Layering
3.3.13What's in a Packet?
3.3.14How do Packets get Routed?
3.3.15Did my Data Arrive Safely?
3.3.16Network Hardware
3.3.17Transmission Media
3.3.18Firewalls
3.3.19Proxies
3.3.20Client-Server Model
3.3.21Advantages of the Client Server Model
3.3.22Disadvantages of the Client Server Model
3.3.23Peer-to-Peer Model
3.3.24Advantages of the Peer-to-Peer Model
3.3.25Disadvantages of the Peer-to-Peer Model
4Data Types, Data Structures & Algorithms
4.1Data Types
4.1.1Data Types
4.1.2Casting
4.1.3Arrays
4.1.42D Arrays
4.1.5Strings
4.1.6Binary
4.1.7Sign & Magnitude
4.1.8Binary Addition
4.1.9Binary Shifts
4.1.10Hexadecimal
4.1.11Using Hexadecimal
4.1.12Converting Binary & Hexadecimal
4.1.13Converting Denary & Hexadecimal
4.1.14Floating Points in Binary
4.1.15Normalisation of Floating Points
4.1.16Floating Point Addition
4.1.17Floating Point Subtraction
4.1.18Bitwise Manipulation - Shifts
4.1.19Bitwise Manipulation - Masks
4.1.20Character Sets
4.1.21ASCII
4.1.22Unicode
4.2Data Structures
5Legal, Moral, Cultural & Ethical Issues
5.1Computing Related Legislation
5.2Moral & Ethical Issues
5.2.1Online Activity Tracking
5.2.2Censorship
5.2.3Positive Cultural Impacts
5.2.4Negative Cultural Impacts
5.2.5E-Waste
5.2.6Energy Consumption
5.2.7Positive Environmental Impact
5.2.8Layout, Colour Paradigms & Character Sets
5.2.9Computers in the Workplace
5.2.10Automated Decision-Making
5.2.11Artificial Intelligence
5.2.12Monitoring Behaviour
5.2.13Analysing Personal Information
5.2.14Piracy & Offensive Communication
6Elements of Computational Thinking
6.1Thinking Abstractly
6.2Thinking Ahead
6.3Thinking Procedurally
6.4Thinking Logically
6.5Thinking Concurrently
7Problem Solving & Programming
7.1Programming Techniques
7.2Programming Construction
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