A game such as chess or checkers involves moving a playing piece from one square to another. Only certain moves are legal. When representing a game configuration as a graph, a vertex represents a...

A game such as chess or checkers involves moving a playing piece from one square to another. Only certain moves are legal. When representing a game configuration as a graph, a vertex represents a square, and an edge represents a legal move to another square (to occupy an empty square or to capture an opponent’s piece).