Graphs, networks and trees: travelling and connecting problems

General Maths Units 3 and 4 (2023+)

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

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.

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