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In How Many Steps the k Peg Version of the Towers of Hanoi Game Can Be Solved?

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STACS 99 (STACS 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1563))

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Abstract

In this we paper we consider the version of the classical Towers of Hanoi games where the game-board contains more than three pegs. For k pegs we give a \( 2^{C_k ^{n^{1/(k - 2)} } } \) lower bound on the number of steps necessary for transferring n disks from one peg to another. Apart from the value of the constants C k this bound is tight.

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© 1999 Springer-Verlag Berlin Heidelberg

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Szegedy, M. (1999). In How Many Steps the k Peg Version of the Towers of Hanoi Game Can Be Solved?. In: Meinel, C., Tison, S. (eds) STACS 99. STACS 1999. Lecture Notes in Computer Science, vol 1563. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49116-3_33

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  • DOI: https://doi.org/10.1007/3-540-49116-3_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65691-3

  • Online ISBN: 978-3-540-49116-3

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