منابع مشابه
Knight's Tours in Higher Dimensions
In this paper we are concerned with knight’s tours on high-dimensional boards. Our main aim is to show that on the d-dimensional board [n], with n even, there is always a knight’s tour provided that n is sufficiently large. In fact, we give an exact classification of the grids [n1] × . . . × [nd] in which there is a knight’s tour. This answers questions of DeMaio, DeMaio and Mathew, and Watkins.
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A knight‟s tour on a board is a sequence of knight moves that visits each square exactly once. A knight‟s tour on a square board is called magic knight‟s tour if the sum of the numbers in each row and column is the same (magic constant). Knight‟s tour in higher dimensions (n > 3) is a new topic in the age-old world of knight‟s tours. In this paper, it has been proved that there can‟t be magic k...
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We consider charged rotating black holes in D = 2N + 1 dimensions, D ≥ 5. While these black holes generically possess N independent angular momenta, associated with N distinct planes of rotation, we here focus on black holes with equal-magnitude angular momenta. The angular dependence can then be treated explicitly, and a system of 5 D-dependent ordinary differential equations is obtained. We s...
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ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2015
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2015.8.615