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, 36 (3). 2445 - 2451. ISSN 0895-4801

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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
Official URL:	https://epubs.siam.org/journal/sjdmec
Additional Information:	© 2022 The Authors
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	25 Jul 2022 14:15
Last Modified:	20 Dec 2024 00:45
URI:	http://eprints.lse.ac.uk/id/eprint/115646

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