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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.
Chess notation systems are used to record either the moves made or the position of the pieces in a game of chess. Chess notation is used in chess literature, and by players keeping a record of an ongoing game. The earliest systems of notation used lengthy narratives to describe each move; these gradually evolved into more compact notation systems.
The Queen's Gambit is the chess opening that starts with the moves: [1]. 1. d4 d5 2. c4. It is one of the oldest openings and is still commonly played today. It is traditionally described as a gambit because White appears to sacrifice the c-pawn; however, this could be considered a misnomer as Black cannot retain the pawn without incurring a disadvantage.
The queen mate is one of the four basic checkmates. It occurs when the side with the king and queen force the bare king to the edge or corner of the board. The queen checkmates the bare king with the support of the allied king. In line with Damiano's bishop mate earlier, this could be seen as 'Damiano's king mate'.
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 ...
Simply 1–0 or 0–1 is written whether a player resigned, lost due to time control or forfeited; in the case of a draw simply ½–½ is written whether the draw was decided by mutual agreement, repetition, stalemate, 50-move rule or dead position. Sometimes direct information is given by words such as "resigns", "draw agreed" etc, but this ...