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

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https://doi.org/10.1007/978-3-031-37675-7In this chapter, we consider linear programs with integrality constraints:

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Atsu Nkukpornu,Kwame Adom,Etse NkukpornuOne of the best known combinatorial optimization problems is to find a shortest path between two specified vertices of a digraph:

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https://doi.org/10.1007/978-3-031-37675-7Matching theory is one of the classical and most important topics in combinatorial theory and optimization. All the graphs in this chapter are undirected. Recall that a matching is a set of pairwise disjoint edges.

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Small Business and EntrepreneurshipNonbipartite weighted matching appears to be one of the “hardest” combinatorial optimization problems that can be solved in polynomial time. We shall extend .’ ... to the weighted case and shall again obtain an . (..)-implementation. This algorithm has many applications, some of which are mentioned in the exercises and in Section 12.2.

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Emotion, Organization, and SocietyIn this chapter we introduce the important concept of approximation algorithms. So far we have dealt mostly with polynomially solvable problems. In the remaining chapters we shall indicate some strategies to cope with .-hard combinatorial optimization problems. Here approximation algorithms must be mentioned in the first place.

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