On dyadic fractional packings of T-joins

Abdi, AhmadORCID logo; 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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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.

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