Berger table

A Berger table is a pairing table for round-robin tournaments. Each participant first receives a number. The table then states which numbers meet in each round, so every player meets every other player once in a single round robin.

For example, FIDE's official table for four participants starts with 1 versus 4 and 2 versus 3, then rotates the combinations in later rounds. If the number of participants is odd, the table treats the next even number as an empty place; the player paired with that number receives a bye for that round.

The table does not decide who deserves a particular number. Numbers may be assigned by lot or according to the competition regulations. Once they are fixed, the table supplies the schedule of opponents and the corresponding round order.