Combinatorics / CONCEPT
Conjecture 15 of CayleyPy-4 fails at k = 5, L = 4, N = 13
The k = 5 clause of Conjecture 15 of CayleyPy-4 is false: without inverses, rotations of five consecutive letters need at least 9 moves to turn 0000111111111 into its reversal, whichever way the rotation acts, while the clause gives 8.
Closed
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PROOF DEPTH5
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Refutation
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Structural connections
- Commuting Completion Exchangestructural-affinity · Closed
- Commuting Completion Exchange Arenastructural-affinity · Closed
- Conjecture 16 of CayleyPy-4 fails at k = 4, L = 2, N = 5structural-affinity · Closed
- Diameter of the inverse-closed consecutive 3-cycle Schreier coset graphstructural-affinity · Closed
- Global Profile Quotient Universalitystructural-affinity · Closed
- Minimal Predictive Completion Quotientstructural-affinity · Closed
- Predictive Completion Monotonicitystructural-affinity · Closed
- Registration Template and Helpersstructural-affinity · Closed
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