Optimum path packing on wheels: the noncrossing case

Abstract: "We show that, given a wheel with nonnegative edge lengths and pairs of terminals located on the wheel's outer cycle such that no two terminal pairs cross, then a path packing, i.e., a collection of edge disjoint paths connecting the given terminal pairs, of minimum length can be...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Grötschel, Martin 1948- (VerfasserIn), Martin, Alexander 1965- (VerfasserIn), Weismantel, Robert (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin Konrad-Zuse-Zentrum für Informationstechnik 1993
Schriftenreihe:Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,26
Schlagworte:
Zusammenfassung:Abstract: "We show that, given a wheel with nonnegative edge lengths and pairs of terminals located on the wheel's outer cycle such that no two terminal pairs cross, then a path packing, i.e., a collection of edge disjoint paths connecting the given terminal pairs, of minimum length can be found in strongly polynomial time. Moreover, we exhibit for this case a system of linear inequalities that provides a complete and nonredundant description of the path packing polytope, which is the convex hull of all incidence vectors of path packings and their supersets."
Beschreibung:20 S. graph. Darst.