Chapters

Introduction

Welcome

Learning objectives

Recap of past learning

What is a graph?

Language used to describe a graph

The degree of a vertex

Going loopy

Simple graphs

Isolated vertex

Degenerate graphs

Connected graphs and bridges

Complete graphs

Subgraphs

Isomorphic (equivalent) graphs

Planar graphs

Euler's rule

Example 1

Example 2

Example 3

Example 4

Graphs and networks

Graphs, networks and trees: travelling and connect

Year 12

This video is the first in the series looking at Networks and it's a great one if I do say so myself. There is a lot of langauge we need to ensure we are making with Graphs and Networks and this is the first video where I explain the language which we are going to need for the rest of the module. Simple graphs, Connected Graphs, Planar Graphs, Isolated Vertices, Complete Graphs, Euler's Rule and so much more are covered in this first video of the Networks series.

Published: June 29, 2021

Length: 21 mins and 31 seconds

Lesson notes

There are currently no lesson notes at this time to download. I add new content every week.

Exam resources

Click the button below to view VCAA exam question(s) and video solutions which match this topic.

2020 Paper 2 Networks module

2020 Paper 2 Networks module

2020 Paper 1 Networks module

2020 Paper 1 Networks module

2020 Paper 1 Networks module

Video tags

vce maths
maths tutorials
graphs and networks
networks module
further maths
vce further
units 3 and 4 maths
planat graphs
connected graphs
simple graphs
isolated vertex
degenerate graphs
euler's rule
year 12 math
grade 12 maths
vce further maths

LEGAL STUFF

Where videos relate to VCE and I have used VCAA questions the following should be noted:

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au