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Article

Stable Multicommodity Flows

MTA-ELTE Egerváry Research Group, Department of Operations Research, Eötvös Loránd University,Pázmány Péter sétány 1/C, H-1117 Budapest, Hungary
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Algorithms 2013, 6(1), 161-168; https://doi.org/10.3390/a6010161
Received: 31 December 2012 / Revised: 25 January 2013 / Accepted: 8 March 2013 / Published: 18 March 2013
(This article belongs to the Special Issue Special Issue on Matching under Preferences)
We extend the stable flow model of Fleiner to multicommodity flows. In addition to the preference lists of agents on trading partners for each commodity, every trading pair has a preference list on the commodities that the seller can sell to the buyer. A blocking walk (with respect to a certain commodity) may include saturated arcs, provided that a positive amount of less preferred commodity is traded along the arc. We prove that a stable multicommodity flow always exists, although it is PPAD-hard to find one. View Full-Text
Keywords: stable matching problem; stable flows; multicommodity flows; PPAD-completeness; Sperner’s Lemma stable matching problem; stable flows; multicommodity flows; PPAD-completeness; Sperner’s Lemma
MDPI and ACS Style

Király, T.; Pap, J. Stable Multicommodity Flows. Algorithms 2013, 6, 161-168. https://doi.org/10.3390/a6010161

AMA Style

Király T, Pap J. Stable Multicommodity Flows. Algorithms. 2013; 6(1):161-168. https://doi.org/10.3390/a6010161

Chicago/Turabian Style

Király, Tamás, and Júlia Pap. 2013. "Stable Multicommodity Flows" Algorithms 6, no. 1: 161-168. https://doi.org/10.3390/a6010161

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