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In mathematics, a queen's graph is an undirected graph that represents all legal moves of the queen—a chess piece—on a chessboard.In the graph, each vertex represents a square on a chessboard, and each edge is a legal move the queen can make, that is, a horizontal, vertical or diagonal move by any number of squares.
The queen (♕, ♛) is the most powerful piece in the game of chess. It can move any number of squares vertically, horizontally or diagonally, combining the powers of the rook and bishop. Each player starts the game with one queen, placed in the middle of the first rank next to the king.
Staunton style chess pieces. Left to right: king, rook, queen, pawn, knight, bishop. The rules of chess (also known as the laws of chess) govern the play of the game of chess. Chess is a two-player abstract strategy board game. Each player controls sixteen pieces of six types on a chessboard. Each type of piece moves in a distinct way.
These templates shows a chess diagram, a graphic representation of a position in a chess game, using standardised symbols resembling the pieces of the standard Staunton chess set. The default template for a standard chess board is {{ Chess diagram }} .
For each position, the tablebase evaluates the situation separately for White-to-move and Black-to-move. Assuming that White has the queen, almost all the positions are White wins, with checkmate forced in no more than ten moves. Some positions are draws because of stalemate or the unavoidable loss of the queen.
The example below is for the opening position, so no moves are shown in the heading. The first row provides the move numbers with subsequent rows representing different variations. Since the initial position is not always the opening position, these numbers will not always start at "1." White half-moves are shown above black half-moves.
A queen can only ever be partially pinned, as it can move in any linear direction, while a knight cannot be partially pinned due to its unique movement. The pawn is a more complex case; due to its limited and conditional movement, whether a pin on a pawn is partial depends on the line and direction of the pin and on whether there are opposing ...
The first commercial chess database, a collection of chess games searchable by move and position, was introduced by the German company ChessBase in 1987. [117] Databases containing millions of chess games have since had a profound effect on opening theory and other areas of chess research.