The Demyanov-Ryabova conjecture is false
classification
🧮 math.OC
keywords
cycledemyanovminimalapplicationconjectureconjecturedconstructconverter
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It was conjectured by Vladimir Demyanov and Julia Ryabova in 2011 that the minimal cycle in the sequence obtained via repeated application of Demyanov converter to a finite family of polytopes is at most two. We construct a counterexample for which the minimal cycle has length 4.
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