Titlebook: Combinatorial Optimization; Theory and Algorithm Bernhard Korte,Jens Vygen Textbook 20001st edition Springer-Verlag Berlin Heidelberg 2000

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Multicommodity Flows and Edge-Disjoint Paths,The . is a generalization of the .. Given a digraph . with capacities ., we now ask for an .-.-flow for several pairs (.) (we speak of several commodities), such that the total flow through any edge does not exceed the capacity.

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Bernhard Korte,Jens VygenWell-written textbook on combinatorial optimization.One of very few textbooks on this topic.Subject area has manifold applications.Includes supplementary material:

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Algorithms and Combinatoricshttp://image.papertrans.cn/c/image/229948.jpg

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https://doi.org/10.1007/978-3-031-37675-7f Chapter 8 one could introduce edge costs to model that the employees have different salaries; our goal is to meet a deadline when all jobs must be finished at a minimum cost. Of course, there are many more applications.

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Spanning Trees and Arborescences,uffice to connect all cities and they should be as cheap as possible. It is natural to model the network by a graph: the vertices are the cities and the edges correspond to the cables. By Theorem 2.4 the minimal connected spanning subgraphs of a given graph are its spanning trees.

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Minimum Cost Flows,f Chapter 8 one could introduce edge costs to model that the employees have different salaries; our goal is to meet a deadline when all jobs must be finished at a minimum cost. Of course, there are many more applications.