Ramsey theory is a field in graph theory that studies unavoidable regularity in large structures. Ramsey theory has applications in logic, algebra, combinatorics, and many other fields. Ramsey theory has uses in fields such as communication, information retrieval, decision making, and social interactions.
Ramsey theory can be seen in everyday social interactions such as social networking, sports, gaming, and classroom settings. Examples of this include the theorem of friends and strangers and the handshake problem.
In the classroom, the handshake problem can be used as an introduction to Ramsey theory at any grade level, due to its relative simplicity and how it represents a simple real-world scenario. The theorem of friends and strangers can be used to quickly assess large groups.
Ramsey theory can be seen in everyday social interactions such as social networking, sports, gaming, and classroom settings. Examples of this include the theorem of friends and strangers and the handshake problem.
In the classroom, the handshake problem can be used as an introduction to Ramsey theory at any grade level, due to its relative simplicity and how it represents a simple real-world scenario. The theorem of friends and strangers can be used to quickly assess large groups.