Eduqas A-Level Computer Science A500QS
Data Structures: Arrays, Records and Hash Tables
Stacks, Queues, Linked Lists and Trees
Boolean Logic and Simplification
Algorithms, Pseudo-Code and Programming Constructs
Variables, Scope, Parameters and Identifiers
Recursion and Modular Programming
Sorting Algorithms
Searching and Shortest-Path Algorithms
Big O Notation and Algorithm Efficiency
Validation, Verification and Testing
Data Compression
Programming Paradigms and Computer Languages
Systems Analysis, Maintenance and Documentation
System Design and Human-Computer Interaction
Software Engineering Tools and Translators
Computing, Society and the Law
Computer Architecture, the Processor and Assembly Language
Input, Output and Secondary Storage
Networks, Protocols and the Internet
Data Transmission and Network Performance
Number Systems and Binary Arithmetic
Data Types, Characters and Floating Point
Files, Records and File Organisation
Databases, Normalisation and Entity Modelling
SQL, Big Data and Distributed Systems
The Operating System and Its Modes
Interrupts, Memory Management and Scheduling
Types of Software System
Data Security, Cryptography and Attack
Searching and Shortest-Path Algorithms
Tracing a shortest-path algorithm by hand
- 3 things to know
- Component 1
Overview
One weighted graph carried through the whole algorithm, with the tentative distances after each step and the order in which the nodes settle.
What you need to know
Answer each one before you reveal it.
Describe the layout of a table used to trace Dijkstra's algorithm by hand.
How do you read the route itself out of a completed trace table?
Questions from this subtopic
Each one with the model answer underneath.
- 1
In the graph P–Q 3, P–R 7, Q–R 2, Q–S 6, R–S 1, R–T 9, S–T 4, what are the tentative distances once the start node P has been processed?
Model answer
Node Q has a tentative distance of 3 and node R has 7. Nodes S and T are still at infinity.
- 2
In the graph P–Q 3, P–R 7, Q–R 2, Q–S 6, R–S 1, R–T 9, S–T 4, which node does Dijkstra's algorithm settle second when starting at P?
Model answer
Node Q is settled second with a distance of 3. Node Q has the smallest tentative distance of the unvisited nodes.
- 3
In the graph P–Q 3, P–R 7, Q–R 2, Q–S 6, R–S 1, R–T 9, S–T 4, what is the shortest distance from P to R?
Model answer
The shortest distance from P to R is 5, along P to Q to R. The direct edge P–R costs 7 and is discarded.
- 4
In the graph P–Q 3, P–R 7, Q–R 2, Q–S 6, R–S 1, R–T 9, S–T 4, what is the shortest distance from P to S?
Model answer
The shortest distance from P to S is 6, along P to Q to R to S. The route using the edge Q–S would cost 9.
- 5
In the graph P–Q 3, P–R 7, Q–R 2, Q–S 6, R–S 1, R–T 9, S–T 4, what is the shortest distance from P to T?
Model answer
The shortest distance from P to T is 10, along P to Q to R to S to T. The route P to Q to R to T would cost 14.
- 6
In the graph P–Q 3, P–R 7, Q–R 2, Q–S 6, R–S 1, R–T 9, S–T 4, state the order in which the nodes are settled from P.
Model answer
The nodes settle in the order P, Q, R, S and then T. The corresponding distances are 0, 3, 5, 6 and 10.
Other ways to work this
The same content, four other ways.
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