The Zlatan Number

Erdős has one, Kevin Bacon has one, and football has Zlatan. Your Zlatan number is how many club dressing rooms stand between you and him.

Erdős and Bacon

An Erdős number counts the co-authorships between a mathematician and Paul Erdős, the prolific Hungarian who wrote with almost everyone. A Bacon number, from the game Six Degrees of Kevin Bacon, counts films between an actor and Kevin Bacon. Both are jokes that turn out to say something real about how tightly a field is connected.

Why Zlatan

Erdős and Bacon are both prolific and both good company, which is what makes them work as the centre of a game. Football has an obvious candidate. Zlatan Ibrahimović played in four of Europe's five biggest leagues, for some of the best clubs in the world, scored 570 career goals, won twelve domestic titles, finished top scorer in six seasons, and once observed that he could not help laughing at how perfect he is.

A player's Zlatan number is 1 if they were at a club at the same time as him, 2 if they shared a club with someone who did, and so on.

How the 297,224 players divide

Almost everyone is within a handful of steps: 66% of all players sit at 3, and the furthest anyone gets is 11. That is what a densely connected sport looks like counted out.

Number of players at each Zlatan number
01
1463
237,494
3197,407
445,918
58,900
64,081
72,341
8432
9152
1024
1111

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