Mathematics > Combinatorics
arXiv:2502.11045 (math)
[Submitted on 16 Feb 2025]
Title:The Towers of Fibonacci, Lucas, Pell, and Jacobsthal
View a PDF of the paper titled The Towers of Fibonacci, Lucas, Pell, and Jacobsthal, by El-Mehdi Mehiri and 2 other authors
View PDFHTML (experimental)Abstract:We present in this paper four new variants of the Tower of Hanoi problem, the optimal solution of each of these variants is related to one of the four known numbers Fibonacci, Lucas, Pell, and Jacobsthal. We give an optimal solution to each of these variants, and we present their associated graphs.
| Comments: | 24 pages, 23 figures |
| Subjects: | Combinatorics (math.CO); Discrete Mathematics (cs.DM) |
| MSC classes: | 05C57, 00A08, 03Dxx, 11B39 |
| Cite as: | arXiv:2502.11045 [math.CO] |
| (orarXiv:2502.11045v1 [math.CO] for this version) | |
| https://doi.org/10.48550/arXiv.2502.11045 arXiv-issued DOI via DataCite |
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View a PDF of the paper titled The Towers of Fibonacci, Lucas, Pell, and Jacobsthal, by El-Mehdi Mehiri and 2 other authors
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