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Wagner is a two-player graph theory game based on the Wagner graph, which is a Mobius ladder with 8 vertices. In this graph, the diameter and the radius are both equal to 2.

Rules

Wagner is a non-capturing game. Initially, each player places a stone at any vertex (not the centre) to maintain the graph colouring rules (i.e., no two friendly pieces are adjacent to each other). Each turn a player moves a friendly stone to an adjacent empty site. The goal is to make all the friendly pieces into a single group.

Author

Tahmina Begum

Creation date

2020-04-25

Ludeme Description

Wagner.lud

Concepts

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