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Oriath is a puzzle based on the graph-theoretic concept of regular graphs. A regular graph is a graph where each vertex has the same number of neighbours; i.e. every vertex has the same degree. Moreover, if a regular graph has k degree, then it's called a k-regular graph.

Rules

Oriath has two versions: general and parameter-k. In both versions, the graph is initially uncoloured. Player alternate taking turns, in which the current player colours an uncoloured edge. In the general version, the last player to make a move such that the coloured graph becomes a regular graph wins. For the parameter-k version, the game is won by the last player to make a move such that the coloured graph is a k-regular graph.

Author

Tahmina Begum

Creation date

2020-05-25

Ludeme Description

Oriath.lud

Concepts

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