Oberwolfach problem

The Oberwolfach problem is a problem in combinatorial design and graph theory that involves the arrangement of pairs (or "couples") of items, typically represented as graphs or edges. It is named after the Oberwolfach Institute for Mathematics in Germany, where the problem was first studied. The classical statement of the problem can be described as follows: You have a finite group of \( n \) people (or vertices) who need to meet in pairs over a series of days (or rounds).