$T$-连接的并进分数填充

SIAM J. Discret. Math. Pub Date : 2022-09-01 DOI:10.1137/21m1445260

Ahmad Abdi, G. Cornuéjols, Zuzanna Palion

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引用次数: 3

摘要

设G = (V,E)为一个图，T≤V为偶基数的非空子集。Edmonds和Johnson关于T连接多面体的著名定理表明，T切割的最小基数等于T连接的分数填充的最大值。本文证明了对于某些整数a, k≥0，所分配的分数可以取为并矢有理，即取为a 2k的形式。

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On Dyadic Fractional Packings of $T$-Joins

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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SIAM J. Discret. Math.

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