The Demyanov-Ryabova conjecture is false
Optimization and Control
2018-07-04 v2
Abstract
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.
Cite
@article{arxiv.1803.05614,
title = {The Demyanov-Ryabova conjecture is false},
author = {Vera Roshchina},
journal= {arXiv preprint arXiv:1803.05614},
year = {2018}
}
Comments
6 figures