In how many steps the k peg version of the towers of Hanoi game can be solved?

  • Authors:
  • Mario Szegedy

  • Affiliations:
  • ATT Shannon Labs, Florham Park, NJ

  • Venue:
  • STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
  • Year:
  • 1999

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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 2Ckn1/(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 Ck this bound is tight.