A mathematical formulation to efficiently determine "life status" in the game of Go

Masafumi Sato, Koichi Anada, M. Tsutsumi
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引用次数: 3

Abstract

The game of Go is an ancient board game. In this game, players aim to capture the stones of their opponent by enclosing them. One possible condition for a stone is described as "safe". A safe stone can never be captured. This has been represented with a static determination by Benson [1]. In this paper, we analyze this determination mathematically, using the BW graph model that was introduced by Sato et al. [2][3][4][5]. As the result, we propose a new representation that reduces the required number of backtracking searches.
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在围棋游戏中有效确定“生命状态”的数学公式
围棋是一种古老的棋类游戏。在这个游戏中,玩家的目标是通过包围对手的石头来捕获它们。石头的一种可能条件是“安全”。安全的石头是永远抓不到的。这已经由Benson[1]用静态确定来表示。在本文中,我们使用Sato等人[2][3][4][5]引入的BW图模型从数学上分析了这一判定。因此,我们提出了一种新的表示,减少了所需的回溯搜索次数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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