On dyadic fractional packings of T-joins
Abdi, Ahmad
; Cornuéjols, Gérard P.; and Palion, Zuzanna
(2022)
On dyadic fractional packings of T-joins
SIAM Journal on Discrete Mathematics, 36 (3).
2445 - 2451.
ISSN 0895-4801
Let G = (V,E) be a graph, and T ⊆ V a nonempty subset of even cardinality. The famous theorem of Edmonds and Johnson on the T-join polyhedron implies that the minimum cardinality of a T-cut is equal to the maximum value of a fractional packing of T-joins. In this paper, we prove that the fractions assigned may be picked as dyadic rationals, i.e. of the form a 2k for some integers a, k ≥ 0.
| Item Type | Article |
|---|---|
| Copyright holders | © 2022 The Authors |
| Keywords | combinatorial optimization, dyadic rational, integral polyhedron, polyhedral combinatorics, T-cuts, T-joins |
| Departments | Mathematics |
| DOI | 10.1137/21M1445260 |
| Date Deposited | 25 Jul 2022 14:15 |
| Acceptance Date | 2022-07-25 |
| URI | https://researchonline.lse.ac.uk/id/eprint/115646 |
Explore Further
- https://www.lse.ac.uk/Mathematics/people/Ahmad-Abdi (Author)
- http://www.scopus.com/inward/record.url?scp=85143255984&partnerID=8YFLogxK (Scopus publication)
- https://epubs.siam.org/journal/sjdmec (Official URL)
ORCID: https://orcid.org/0000-0002-3008-4167
