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We consider the connectedness in the game of Go. This game has a graph theoretical structure and the connectedness of the stones is very important to evaluate positions. In this paper, we construct the mathematical model which represents the connectedness of the stones and the relationship between blocks and null intersections. We propose the recursion of… (More)
The game of Go has a graph theoretical structure. "BW graph model" gives one of clear representations of features of positions with degrees. The degrees of intersections are very important to evaluate positions. In this paper, we introduce the applications of the mathematical model "BW graph model".
The game of Go is a zero-sum game by two players with perfect information. The game of Go has a graph theoretical structure and tactics. BW graph model is a mathematical model for the game of Go, and represents postions and games graph theoretically. This model uses degrees of intersections on the board. In this paper, we formulate a pattern of stones,… (More)