Generalised Knight's Tours

نویسنده

  • Nina Kamcev
چکیده

The problem of existence of closed knight’s tours in [n]d, where [n] = {0, 1, 2, . . . , n− 1}, was recently solved by Erde, Golénia, and Golénia. They raised the same question for a generalised, (a, b) knight, which is allowed to move along any two axes of [n]d by a and b unit lengths respectively. Given an even number a, we show that the [n]d grid admits an (a, 1) knight’s tour for sufficiently large even side length n.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2014