The max-flow min-cut property and ±1-resistant sets
Abdi, A.
& Cornuejols, G.
(2021).
The max-flow min-cut property and ±1-resistant sets.
Discrete Applied Mathematics,
289, 455 - 476.
https://doi.org/10.1016/j.dam.2020.10.003
A subset of the unit hypercube {0, 1}n is cube-ideal if its convex hull is described by hypercube and generalized set covering inequalities. In this paper, we provide a structure theorem for cube-ideal sets S ⊆ {0, 1}n such that, for any point x ∈ {0, 1}n , S − {x} and S ∪ {x} are cube-ideal. As a consequence of the structure theorem, we see that cuboids of such sets have the max-flow min-cut property.
| Item Type | Article |
|---|---|
| Copyright holders | © 2020 Elsevier B.V. |
| Departments | LSE > Academic Departments > Mathematics |
| DOI | 10.1016/j.dam.2020.10.003 |
| Date Deposited | 27 Oct 2020 |
| Acceptance Date | 03 Oct 2020 |
| URI | https://researchonline.lse.ac.uk/id/eprint/107083 |
Explore Further
- https://www.lse.ac.uk/Mathematics/people/Ahmad-Abdi (Author)
- https://www.scopus.com/pages/publications/85095843037 (Scopus publication)
- https://www.sciencedirect.com/journal/discrete-app... (Official URL)
ORCID: https://orcid.org/0000-0002-3008-4167