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Strom- und Transportprobleme

In: Graphen—Algorithmen—Programme

Author

Listed:
  • Hansjoachim Walther

    (Technische Hochschule Ilmenau)

  • Günter Nägler

    (Technische Hochschule Leipzig)

Abstract

Zusammenfassung Gegeben sei ein gerichteter Graph G(X, U). Unter einem Fluß in (oder auf) G verstehen wir eine beliebige reellwertige (häufig ganzzahlige) Bogenfunktion ϕ, also eine Funktion ϕ, die jedem Bogen u = (X i , X i ) ∈ U eine reelle Zahl ϕ(X i , X j ) — die Maßzahl des durch u gehenden Flusses — zuordnet. Betrachten wir den Graphen der Abb. 3.1.1. In die Knoten haben wir Zahlen eingetragen, die sich aus dem Überschuß (der auch negativ oder Null sein kann) der in den Knoten ein- und auslaufenden Flußwerte ergibt. Man unterscheidet zweckmäßig drei Knotentypen, nämlich Quellen — das sind Knoten, aus denen mehr heraus- als hineinfließt -, ferner Senken — das sind Knoten, in die mehr hinein- als herausfließt -, schließlich Verteiler — bei denen die Bilanz ausgeglichen ist.

Suggested Citation

  • Hansjoachim Walther & Günter Nägler, 1987. "Strom- und Transportprobleme," Springer Books, in: Graphen—Algorithmen—Programme, chapter 3, pages 96-145, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-8856-9_4
    DOI: 10.1007/978-3-7091-8856-9_4
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