The max-flow min-cut property and ±1-resistant sets

Abdi, Ahmad ORCID: 0000-0002-3008-4167 and Cornuejols, Gerard (2021) The max-flow min-cut property and ±1-resistant sets. Discrete Applied Mathematics, 289. 455 - 476. ISSN 0166-218X

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Abstract

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
Official URL:	https://www.sciencedirect.com/journal/discrete-app...
Additional Information:	© 2020 Elsevier B.V.
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	27 Oct 2020 11:24
Last Modified:	30 Sep 2025 07:06
URI:	http://eprints.lse.ac.uk/id/eprint/107083

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