This is a very playable game, and it involves pure graph theory. In this game, various boards consist of six dots. Two players, blue and red, take the turn. When a player is making a turn, he/she has to pick two points that aren’t connected in one line. Then links them with his line color. In this game, a player who completes a triangle of his own loses the game.

This is how the graph theory is implemented in the game of sim. Here, two players ‘colors the uncolored lines as they take turns. Each player has the color that he uses in the game. The graph theories apply because the players should avoid the triangle made of their colors (Bollobas, 2012). The triangles that only matters are the ones with the dots at the end. Lines intersections aren’t allowed in the game.

The graph theory adds a lot of meaning to the game; this is because it prevents a tie to the game. There is no time a set of sim can end up with a tie. After 15-half moves, the boards’ becomes full, and it must contain a color of one player.

The implementation is always fair to the players involved. This is because every individual has to make sure that while taking a turn, he has to draw a line connecting the two points (Mead, 2014). Failure to do this, he/she may end up losing the game. The graph theory, therefore, makes the game to be fair.

The implementation is not obvious but highly depends on what is going in the background of the game. The players must be, therefore, keen while playing the game.

References

Bollobas, B. (2012). Graph theory: an introductory course (Vol. 63). Springer Science & Business Media.

Mead, E., Rosa, A., & Huang, C. (2014). The Game of Sim: A Winning Strategy for the Second Player [Ebook] (pp. 243-247). Mathematical Association of America.

 
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