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Flow Rounding

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arxiv 1507.08139 v1 pith:VDM2MOJR submitted 2015-07-29 cs.DS

Donggu Kang , James Payor This is my paper · ORCID
classification cs.DS
keywords flowroundingintegralfindfractionalalgorithmalongasks
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We consider flow rounding: finding an integral flow from a fractional flow. Costed flow rounding asks that we find an integral flow with no worse cost. Randomized flow rounding requires we randomly find an integral flow such that the expected flow along each edge matches the fractional flow. Both problems are reduced to cycle canceling, for which we develop an $O(m \log(n^2/m))$ algorithm.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Breaking the O(mn)-Time Barrier for Vertex-Weighted Global Minimum Cut

    cs.DS 2025-06 accept novelty 8.0 of 10

    A randomized algorithm computes the weighted global minimum vertex-cut in O(min{mn^{0.99+o(1)}, m^{1.5+o(1)}}) time, breaking the long-standing O~(mn) barrier.

  2. $O(N^3)$ Measurement Cost for Variational Quantum Eigensolver on Molecular Hamiltonians

    quant-ph 2019-08 conditional novelty 5.0 of 10

    For Jordan-Wigner encoded molecular Hamiltonians, the O(N^4) Pauli terms partition into O(N^3) commuting families of size O(N), cutting VQE measurement cost to O(N^3).

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