Combinatorics / CONCEPT
Conjecture 16 of CayleyPy-4 fails at k = 4, L = 2, N = 5
Conjecture 16 of CayleyPy-4 is false under both readings of the diameter: with rotations of four consecutive letters on words with two zeros and three ones, the word 11010 is three moves from 00111, one more than the conjectured formula.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS1
Refutation
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Proof dependencyStructural affinityDocument link
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RELATED KNOWLEDGE
Structural connections
- Commuting Completion Exchangestructural-affinity · Closed
- Commuting Completion Exchange Arenastructural-affinity · Closed
- Conjecture 15 of CayleyPy-4 fails at k = 5, L = 4, N = 13structural-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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