Graphs and networks
Graph theory is a branch of mathematics that involves using a structure called a graph to represent connections or relationships between objects. A network is a subset of graphs that includes additional information, such as weights or directions, giving them a range of applications in real world situations.
Graphs and networks are used across a wide range of disciplines. Some examples include the optimisation of transport systems in engineering; the development of algorithms for navigation in computer sciences; and the efficient scheduling of timelines in business. Whether one is modelling relationships or solving complex optimisation challenges, graphs and networks provide essential tools for understanding and improving system efficiencies across many industries.
This resource revises Graphs and Networks and within Graphs and Networks there are 6 key concepts:
- Basics of graphs and network
- Walks, trails, paths, cycles and circuits
- Shortest path
- Trees
- Matching
- Directed networks
To determine if this resource will benefit you, start by answering the following questions.
- How can mathematics be used to model relationships or connections between people or objects in real world scenarios?
- How can you determine the most efficient routes when planning a trip?
- How do large projects manage and optimise resources and timelines efficiently?
The answers to these questions are provided on the following pages. Use this resource to refresh your memory, reinforce your understanding of these concepts, and prepare more effectively for university-level learning.