TL;DR
This paper addresses the Tower of Hanoi problem with multiple pegs, proving a weaker version of the longstanding Frame-Stewart conjecture about the minimal number of moves required.
Contribution
It provides a proof for a weaker form of the Frame-Stewart conjecture, advancing understanding of optimal solutions for multi-peg Tower of Hanoi variants.
Findings
Proved a weaker version of the Frame-Stewart conjecture
Established bounds on minimal move counts for n disks and p pegs
Enhanced theoretical understanding of multi-peg Tower of Hanoi problem
Abstract
The Frame-Stewart conjecture states the least number of moves to solve a generalized Tower of Hanoi problem, of n disks and p pegs. In this paper, we prove a weaker version of the Frame-Stewart conjecture.
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Taxonomy
TopicsHistorical Studies and Socio-cultural Analysis · Vietnamese History and Culture Studies · Computational Geometry and Mesh Generation