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Table of graphs and parameters In graph theory , a knight's graph , or a knight's tour graph , is a graph that represents all legal moves of the knight chess piece on a chessboard . Each vertex of this graph represents a square of the chessboard, and each edge connects two squares that are a knight's move apart from each other.
Some chess variants use more than a single board per match. Bughouse chess, for example, involves four players playing two simultaneous matches on separate boards. [18] Alice Chess is a popular variant which is usually played on two boards to facilitate the movement of pieces between the boards. [19]
In terms of chess, the independence number is the maximum number of rooks that can be placed without attacking each other; the domination number is the minimum number needed to attack all unoccupied board squares. Rook's graphs are well-covered graphs, meaning that placing non-attacking rooks one at a time can never get stuck until a set of ...
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.
Each square has two names, depending on the viewpoint of White or Black. Each file is given a name corresponding to the piece that occupies the first rank at the start of the game. Thus, in English descriptive notation the queen's file is named "Q" and the king's file is named "K". Since there are two each of the remaining pieces on the first ...
The above is written for around ten pawns on the board (a typical number); the value of the rooks goes down as pawns are added, and goes up as pawns are removed. [ 49 ] Finally, Kaufman proposes a simplified version that avoids decimals: use the traditional values P = 1, N = 3, B = 3+, and R = 5 with queens off the board, but use P = 1, N = 4 ...
In graph theory, a king's graph is a graph that represents all legal moves of the king chess piece on a chessboard where each vertex represents a square on a chessboard and each edge is a legal move. More specifically, an n × m {\displaystyle n\times m} king's graph is a king's graph of an n × m {\displaystyle n\times m} chessboard. [ 1 ]
Table of graphs and parameters 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 ...