منابع مشابه
A problem of arrangements on chessboards and generalizations
For a unified approach to the study of the distributions of like objects on chessboards, the numbers defined by where A, denotes the partial Cwith respect to u) difference operator, are examined. This approach facilitates the treatment of further generalizations of such problems.
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A saw-toothed chessboard, or STC for short, is a kind of chessboard whose boundary forms two staircases from left down to right without any hole inside it. A rook at square (i, j) can dominate the squares in row i and in column j . The rook problem of an STC is to determine the minimum number of rooks that can dominate all squares of the STC. In this paper, we model an STC by two particular gra...
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This paper describes the n-queens problem on an n × n chessboard. We discuss the possible symmetries of n-queens solutions and show how solutions to this classical chess question can be used to create examples of colorful artwork.
متن کاملQueens graphs for chessboards on the torus
Ve consider the independence, domination and independent domination numbers of graphs obtained from the moves of queens on chessboards drawn on the torus, and determine exact values for each of these parameters in infinitely many cases.
متن کاملQuantum Chessboards in Deuterium Wavepackets
We present a novel scheme for quantum manipulation in ultrafast diatomic molecules. A pump mechanism is used to create a coherent superposition of the D + 2 vibrations. A short, intense, control pulse is applied, after a fractional coherence time, to create selective interferences. A 'chessboard' pattern of states can be realised in which the set of even/odd numbered vibrational states can be a...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1972
ISSN: 0097-3165
DOI: 10.1016/0097-3165(72)90084-2