Graph Theory: The Modern Science of Networks

Senior STEM Camp for Years 3 to 11

29 July -2 August 2024: Face to Face at Queen’s Gate House

65-67 Queen's Gate, SW7 5JS


Science, Technology, Engineering and Mathematics are woven together in this exciting camp that explores graph theory and networks in maths and teaches the cutting edge uses of programming and robotics.

Children regularly change classroom, teacher and subject during the day. Participants also benefit from a pupil to teacher ratio of six to one with each group of participants being taught in their own separate classroom to maximise the learning opportunity.

Pupils will be able to take their projects home to demonstrate how they operate and what they have learned.


Format and fees for the senior face to face camp:

  • pupil to teacher ratio of 6:1
  • participants are taught in small groups, tailored by similarity of age and ability, in individual classrooms
  • camp times: 10am to 3pm
  • or from 9am for an extra hour of problem solving and/or from 3pm to 4pm with our chess class. There is a supplement of £25 for each additional class booked so a week of extra maths or chess is £125 per subject
  • fees are £595 for five days. It is not possible to join for a shorter period 
Places are limited, please register your interest HERE.   

In Maths we will explore Graph Theory, Networks and their practical applications. Graphs can be used to model many types of relations and processes in physical, biological, social and information systems. Many practical problems can be represented by graphs. Emphasizing their application to real-world systems, the term network is sometimes defined to mean a graph in which attributes (e.g. names) are associated with the vertices and edges, and the subject that expresses and understands real-world systems as a network is called network science. 

By year groups, participants will study:

Years 3-5 

Pupils will learn several basics of graph theory: solving problems about maps and journeys, finding the fastest route, trying to disprove a famous colouring theorem.

Years 6-8 

Children will be introduced to the mathematics of relations, friendship and networks where the core of what matters is the connection. Pupils will investigate a modern branch of science from scratch, creating notions and finding the first theorems. They will then apply these fundamental principles to solve advanced problems. This will be the start of a scientific journey towards how the worldwide web works and more.

Years 9-12 

Students will learn graph theory and the modern science of networks by planning and investigating travels and airlines in Arcadia. How do we find the shortest way to get from A to B on a system of roads? What is the cheapest way to lay cables such that information can get from any node to any other through those? Participants will take the first steps in graph algorithms that affect our lives more and more.

In our optional Problem Solving Maths sessions from 9.00 to 10.00 each day, participants will study as follows: 

Years 3-5: pupils will be offered challenging problems from UK and international maths contests suitable for their age. 

Years 6-8 and 9-12: problems where a graph works in the background: tasks in different fields of mathematics where it helps to reveal the underlying logical network, playing with a question and variations. Tasks in Combinatorics where a tree diagram helps to cover all the cases. 

The content of our Problem Solving Maths sessions is different for each our Camp so pupils attending multiple camps will cover new material each week.