- Title
- The Demyanov–Ryabova conjecture is false
- Creator
- Roshchina, Vera
- Date
- 2019
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/168053
- Identifier
- vital:13807
- Identifier
-
https://doi.org/10.1007/s11590-018-1296-0
- Identifier
- ISBN:1862-4472
- Abstract
- It was conjectured by Demyanov and Ryabova (Discrete Contin Dyn Syst 31(4):1273–1292, 2011) that the minimal cycle in the sequence obtained via repeated application of the Demyanov converter to a finite family of polytopes is at most two. We construct a counterexample for which the minimal cycle has length 4.
- Publisher
- Springer Verlag
- Relation
- Optimization Letters Vol. 13, no. 1 (2019), p. 227-234. http://purl.org/au-research/grants/arc/DP180100602
- Rights
- Copyright © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Demyanov converter; Demyanov–Ryabova conjecture; Exhausters
- Full Text
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