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On dyadic fractional packings of T-joins

Abdi, Ahmad ORCID: 0000-0002-3008-4167, Cornuéjols, Gérard P. and Palion, Zuzanna (2022) On dyadic fractional packings of T-joins. SIAM Journal on Discrete Mathematics. ISSN 0895-4801 (In Press)

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Abstract

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
Additional Information: © 2022
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 25 Jul 2022 14:15
Last Modified: 25 Jul 2022 14:18
URI: http://eprints.lse.ac.uk/id/eprint/115646

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