Artículo de revista
A Partial Answer to the Demyanov-Ryabova Conjecture
Fecha
2018Registro en:
Set-Valued and Variational Analysis, Volumen 26, Issue 1, 2018, Pages 143-157
18770541
09276947
10.1007/s11228-017-0439-2
Autor
Daniilidis, Aris
Petitjean, Colin
Institución
Resumen
In this work we are interested in the Demyanov–Ryabova conjecture for a finite family of polytopes. The conjecture asserts that after a finite number of iterations (successive dualizations), either a 1-cycle or a 2-cycle eventually comes up. In this work we establish a strong version of this conjecture under the assumption that the initial family contains “enough minimal polytopes” whose extreme points are “well placed”.