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Tournament Tree Generator

Tool/Generator to make trees of elimination/knockout tournaments from a list and taking into account any available seeds of the first rounds of the tournament.

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Tournament Tree Generator -

Tag(s) : Algorithm, Combinatorics

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# Tournament Tree Generator

## Tournament Tree Generator

 Seeds Yes, firsts in the ranking will not face each other on first rounds No, everything is random

### What is a single elimination tournament? (Definition)

A knockout tournament is a competition eliminating any competitor/team that loses a match. The winner is then the team/competitor who does not lose any matches.

### How to organize a single elimination tournament?

Make a list of all participants, if necessary taking into account a prior ranking of players / teams (for a tournament with seed) otherwise a random sort will be done.

Ideally, the number of teams is a number equal to a power of $2$ such as $4, 8, 16, 32, 64, 128, 256$, if not, some match will not have 2 opponents (Teams / players will then automatically qualify in the next round).

Click Generate to get the tournament games' tree.

### What are tournament seeds?

In a tournament, to increase the show and the suspense, the first rounds are not completely random. To prevent 2 favorites/contenders face each over in the first rounds and be quickly eliminated, the seeds (the best players from a previous ranking or tournament) are slightly helped and can not meet immediately, they must first beat other players (theoretically less well ranked) before reaching the final stages.

Example: Grand Slam tennis matches (Roland Garros, Wimbledon, etc.) use seeds

### How many total games has a tournament?

For a knockout tournament competition with $N$ teams then there is a total of $N-1$ matches.

Indeed, every game, a team is eliminated, so in the end only one team will never lose, so there will have been $N-1$ games.

Example: In a 32-team tournament, there are 31 matches (sometimes 32 when a game is played for 3rd place)

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Cite as source (bibliography):
Tournament Tree Generator on dCode.fr [online website], retrieved on 2024-09-10, https://www.dcode.fr/tournament-tree-generator

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