Titlebook: CATBox; An Interactive Cours Winfried Hochstättler,Alexander Schliep Textbook 2010 Springer-Verlag Berlin Heidelberg 2010 Graph.Graph theor

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https://doi.org/10.1007/978-3-8349-9963-4work at minimum cost. In more realistic problems from transportation we usually have to deal with capacity constraints, limiting the amount of flow across arcs. Hence, the basic problem in a capacitated network is to send as much flow as possible between two designated vertices, more precisely from

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,Organisationstheoretische Überlegungen,an for period j as a shortest path. If we have capacities on the edges as well, the problem becomes a combination of a shortest path and a flow problem called a min-cost-flow-problem, which is the kind of problem we will discuss in this chapter. Compared to its simplest form, namely when we interpre

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,Organisationstheoretische Überlegungen,t u and v are related. Take the assignment of students which share a room in a dormitory as an example. The students are our objects and the relation is .. The endpoints of any edge are roommates. If there are only double rooms in the dormitory, a pairing of roommates is a ..

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Discrete Problems from Applications,rom communications to scheduling in factories, from biology to economics. The field has attracted considerable attention over the last five decades mainly for one reason, namely the availability of powerful computing machinery. Let us motivate our topic with an example.

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Linear Programming Duality,mming duality.The reader not interested in the more advanced algorithms of this book can feelfree to skip this chapter. The mathematics of this chapter is inevitable though, tofully appreciate the algorithms for mincost-flow and weighted matching.

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Matching,t u and v are related. Take the assignment of students which share a room in a dormitory as an example. The students are our objects and the relation is .. The endpoints of any edge are roommates. If there are only double rooms in the dormitory, a pairing of roommates is a ..

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https://doi.org/10.1007/978-3-8349-9963-4After the abstract algebraic material of the last chapter, this one will be easier and more concrete. We shall deal with the problem of determining a shortest path in a weighted graph. This everyday problem does not only occur in its most obvious form, as we already realized in Chap. 1.