Unsplittable Cost Flows from Unweighted Error-Bounded Variants

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Authors: Chaitanya Swamy, Vera Traub, Laura Vargas Koch, Rico Zenklusen
Cited by: 0

Abstract

A famous conjecture of Goemans on single-source unsplittable flows states that one can turn any fractional flow into an unsplittable one of no higher cost, while increasing the load on any arc by at most the maximum demand. Despite extensive work on the topic, only limited progress has been made. Recently, Morell and Skutella suggested an alternative conjecture, stating that one can turn any fractional flow into an unsplittable one without changing the load on any arc by more than the maximum demand.

Fields of Study & Subjects

Complexity and Algorithms in Graphs Logic programming and type systems Mathematical Dynamics and Fractals

Publication details

Journal / source
Society for Industrial and Applied Mathematics eBooks
Pages
512–523
Publication date
1 January 2026
Language
EN