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Dots-and-boxes has a dual form called " strings-and-coins ".
This game is played on a network of coins ( vertices ) joined by strings ( edges ).
Players take turns to cut a string.
When a cut leaves a coin with no strings, the player pockets the coin and takes another turn.
The winner is the player who pockets the most coins.
Strings-and-coins can be played on an arbitrary graph.

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