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New R package `cayleyR` solves permutation puzzles using graph theory

By PulseAugur Editorial · [2 sources] ·

Researchers have developed `cayleyR`, an R package designed to solve permutation puzzles by analyzing cycle intersections within Cayley graphs. The package employs an iterative bidirectional search algorithm, generating cycles from both initial and target states and finding a path through their intersection. It specifically targets the TopSpin(n,k) puzzle, utilizing a state space represented by a Cayley graph of the symmetric group Sn. The implementation integrates C++ for state storage and offers optional Vulkan GPU acceleration, with the software now available on CRAN. AI

IMPACT This research introduces novel computational methods for solving complex permutation puzzles, potentially applicable to other combinatorial problems.

RANK_REASON The cluster describes a new research paper detailing an R package for solving permutation puzzles using graph theory and computational methods. [lever_c_demoted from research: ic=2 ai=0.4]

Read on Hugging Face Daily Papers →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New R package `cayleyR` solves permutation puzzles using graph theory

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The cluster describes a new research paper detailing an R package for solving permutation puzzles using graph theory and computational methods. [lever_c_demoted from research: ic=2 ai=0.4]
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COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Yuri Baramykov ·

    CayleyR: Solving the TopSpin puzzle via cycle intersection

    arXiv:2607.13219v1 Announce Type: new Abstract: We present cayleyR, an R package for solving permutation puzzles by detecting cycle intersections in Cayley graphs. The core algorithm performs an iterative bidirectional search: from both the initial and target permutation states, …

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    CayleyR: Solving the TopSpin puzzle via cycle intersection

    We present cayleyR, an R package for solving permutation puzzles by detecting cycle intersections in Cayley graphs. The core algorithm performs an iterative bidirectional search: from both the initial and target permutation states, random operation sequences generate cycles in th…

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