cayleyR: Cayley Graph Analysis for Permutation Puzzles

Implements algorithms for analyzing Cayley graphs of permutation groups for the TopSpin puzzle. Provides methods for cycle detection, state space exploration and finding optimal operation sequences in permutation groups generated by shift and reverse operations. Also provides rule-defined landmark states for probing graphs too large to enumerate, and convex and non-convex hulls for measuring the solid such states span. The method Iterative Cycle Intersection (ICI) is described in Yuri Baramykov (2026) <doi:10.48550/arXiv.2607.13219>.

Version: 0.2.6
Imports: Rcpp
LinkingTo: Rcpp
Suggests: testthat (≥ 3.0.0), ggmlR, data.table, knitr, rmarkdown
Published: 2026-07-29
DOI: 10.32614/CRAN.package.cayleyR
Author: Yuri Baramykov ORCID iD [aut, cre]
Maintainer: Yuri Baramykov <lbsbmsu at mail.ru>
BugReports: https://github.com/Zabis13/cayleyR/issues
License: MIT + file LICENSE
URL: https://github.com/Zabis13/cayleyR, https://arxiv.org/abs/2607.13219
NeedsCompilation: yes
Materials: README, NEWS
CRAN checks: cayleyR results

Documentation:

Reference manual: cayleyR.html , cayleyR.pdf
Vignettes: Function Reference (source)
Solving Top Spin by Hand (source)
Landmark States and the Solid They Span (source, R code)

Downloads:

Package source: cayleyR_0.2.6.tar.gz
Windows binaries: r-devel: cayleyR_0.2.6.zip, r-release: cayleyR_0.2.6.zip, r-oldrel: cayleyR_0.2.6.zip
macOS binaries: r-release (arm64): cayleyR_0.2.6.tgz, r-oldrel (arm64): cayleyR_0.2.6.tgz, r-release (x86_64): cayleyR_0.2.6.tgz, r-oldrel (x86_64): cayleyR_0.2.6.tgz
Old sources: cayleyR archive

Reverse dependencies:

Reverse suggests: cgvR

Linking:

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