Evidence map›Paper›PMID 41426256›Full record

ArticleJournal of global optimization : an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering2025

Minimum flow decomposition in graphs with cycles using integer linear programming.

Fernando H C Dias, Lucia Williams, Brendan Mumey, Alexandru I Tomescu

Abstract read
In one paragraph

Article in Journal of global optimization : an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

  1. Minimum flow decomposition guided by saturating subflows.bioRxiv : the preprint server for biology · 2026
    Article
  2. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Fernando H C DiasDepartment of Mathematics and Systems Analysis, Aalto University, 02150 Espoo, Finland.ORCID 0000-0002-6398-919X
Lucia WilliamsDepartment of Computer Science, University of Montana, Missoula, MT USA.
Brendan MumeySchool of Computing, Montana State University, Bozeman, MT USA.
Alexandru I TomescuDepartment of Computer Science, University of Helsinki, 00560 Espoo, Finland.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Minimum flow decomposition (MFD) - the problem of finding a minimum set of weighted source-to-sink paths that perfectly decomposes a flow - is a classical problem in Computer Science, and variants of it are powerful models in a different fields such as Bioinformatics and Transportation. Even on acyclic graphs, the problem is NP-hard, and most practical solutions have been via heuristics or approximations. While there is an extensive body of research on acyclic graphs, currently there is no

Indexed as

BioinformaticsFlow DecompositionInteger Linear ProgrammingNetwork FlowTransportation Science

Identifiers

PMID41426256
PMCPMC12712005

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.