An Introduction to Graph Theory

Learning Outcome Understand crucial concepts of Graph Theory. Learn about various graphs and their properties. Deepen your knowledge on graph …

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i Last Updated: 10th July 2026

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Overview

Students often find it difficult to understand complex networks, relationships, and structured connections in mathematics and computer science. Without a clear foundation, topics like paths, trees, and graph colouring can feel confusing and disconnected from real-world use. This An Introduction to Graph Theory course simplifies these ideas and turns them into easy, structured learning steps. The An Introduction to Graph Theory course explains core concepts such as graph types, digraphs, planar graphs, and graph operations in a clear and logical way. You will learn how networks are formed, analysed, and applied in problem-solving situations. The An Introduction to Graph Theory course also strengthens analytical thinking by exploring trees, paths, and tournaments. Whether you are studying mathematics, computer science, or data science, this An Introduction to Graph Theory course builds a strong foundation for logical reasoning and structured problem-solving.

Key Benefits Included

► Accredited by CPD
► Instant Access
► 24/7 Learning Assistance
► Self-paced learning and laptop, tablet, smartphone-friendly
► Fully online, interactive course with audio voiceover
► Developed by qualified professionals in the field

Sneak Peek

Learning Outcomes

► Understand core graph theory concepts and terminology clearly
► Analyse different graph types including trees and digraphs
► Apply path and network concepts to structured problems
► Evaluate planar graphs and their properties effectively
► Solve graph colouring and optimisation problems logically

Who is This Course For?

► Students studying mathematics or computer science
► Beginners in data science or algorithm-based fields
► Learners improving logical and analytical thinking skills
► University applicants preparing for technical subjects
► Professionals working with networks or data systems
► Anyone interested in structured problem-solving techniques

Certification

CPD Certification

After successfully completing the assessment of this course, you can apply for the CPD accredited certificates.
PDF certificate: £9.99
Hardcopy certificate: £15.99

Career Opportunities

► Data Analyst – £28,000 to £45,000 per year
► Software Developer – £35,000 to £65,000 per year
► Network Analyst – £32,000 to £52,000 per year
► Algorithm Engineer – £40,000 to £70,000 per year
► Systems Analyst – £34,000 to £58,000 per year
► Research Assistant (Maths/CS) – £30,000 to £50,000 per year

Course Curriculum

The course covers a wide range of essential topics, including:

Module 01: Supplements

Module 02: Fundamentals

Module 03: Paths

Module 04: Graph Types

Module 05: Trees

Module 06: Digraphs and Tournaments

Module 07: Planar Graphs

Module 08: Graph Operations

Module 09: Graph Colourings

Excellent

4.8 Average - 2 Reviews

★ Reviews

The course made graph theory very clear and easy to understand with simple explanations.

I finally understood trees and networks properly. Great structure and easy learning flow.

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
	Assignment – An Introduction to Graph Theory	00:00:00