An Introduction to Graph Theory

An Introduction to Graph Theory

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The An Introduction to Graph Theory is the best way for you to gain deep insight and knowledge of this topic. You will learn from industry experts and obtain an accredited certificate after completing the course. Enrol now for a limited-time discounted price.

Like all the courses of One Education, this An Introduction to Graph Theory is designed with the utmost attention and thorough research. All the topics are broken down into easy to understand bite-sized modules that help our learners to understand each lesson very easily.

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If you want to learn about this topic and achieve certifications, you should consider this An Introduction to Graph Theory from One Education.

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Learning Outcome

Course design

The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace.

You are taught through a combination of


After completing this course's assessment, you will be eligible for:

The CPD QS accredited certificate is available in PDF format, at the cost of £9, or a hard copy can be sent to you via post, at the cost of £15.

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Why study this course

Whether you’re an existing practitioner or aspiring professional, this course will enhance your expertise and boost your CV with key skills and an accredited qualification attesting to your knowledge.

The An Introduction to Graph Theory is open to all, with no formal entry requirements. All you need is a passion for learning, a good understanding of the English language, numeracy and IT, and to be over the age of 16.

Course Curriculum

Course Promo
Graph Theory Promo 00:02:00
Module 01: Supplements
Textbook Recommendations 00:02:00
Tools and Softwares 00:05:00
Sets 00:09:00
Number Sets 00:10:00
Parity 00:12:00
Terminologies 00:07:00
Module 02: Fundamentals
Introduction 00:03:00
Graphs 00:11:00
Subgraphs 00:09:00
Degree 00:10:00
Sum of Degrees of Vertices Theorem 00:23:00
Adjacency and Incidence 00:09:00
Adjacency Matrix 00:16:00
Incidence Matrix 00:08:00
Isomorphism 00:08:00
Module 03: Paths
Introduction 00:01:00
Walks, Trails, Paths, and Circuits 00:13:00
Examples 00:10:00
Eccentricity, Diameter, and Radius 00:07:00
Connectedness 00:20:00
Euler Trails and Circuits 00:18:00
Fleury’s Algorithm 00:10:00
Hamiltonian Paths and Circuits 00:06:00
Ore’s Theorem 00:14:00
Dirac’s Theorem 00:06:00
The Shortest Path Problem 00:16:00
Module 04: Graph Types
Introduction 00:01:00
Trivial, Null and Simple Graphs 00:10:00
Regular Graphs 00:10:00
Complete, Cycles and Cubic Graphs 00:10:00
Path, Wheel and Platonic Graphs 00:11:00
Bipartite Graphs 00:14:00
Module 05: Trees
Introduction 00:01:00
Trees 00:14:00
Cayley’s Theorem 00:03:00
Rooted Trees 00:10:00
Binary Trees 00:14:00
Binary Tree Traversals 00:18:00
Binary Expression Trees 00:09:00
Binary Search Trees 00:19:00
Spanning Trees 00:10:00
Forest 00:07:00
Module 06: Digraphs and Tournaments
Introduction 00:01:00
Digraphs 00:12:00
Degree 00:09:00
Isomorphism 00:08:00
Adjacency Matrix 00:10:00
Incidence Matrix 00:05:00
Walks, Paths and Cycles 00:12:00
Connectedness 00:05:00
Tournaments 00:08:00
Module 07: Planar Graphs
Introduction 00:01:00
Planar Graphs 00:10:00
Kuratowski’s Theorem 00:14:00
Euler’s Formula 00:10:00
Dual Graphs 00:11:00
Module 08: Graph Operations
Introduction 00:01:00
Vertex and Edge Deletion & Addition 00:08:00
Cartesian Product 00:10:00
Graph Join and Transpose 00:04:00
Complement Graphs 00:05:00
Module 09: Graph Colourings
Introduction 00:01:00
Vertex Colourings 00:05:00
Edge Colourings 00:09:00
Total Colourings 00:05:00
Assignment – An Introduction to Graph Theory 00:00:00

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