Titlebook: Geometric Algorithms and Combinatorial Optimization; Martin Grötschel,László Lovász,Alexander Schrijver Book 1993Latest edition Springer-V

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https://doi.org/10.1007/978-3-322-82354-0 of the polytopes associated with these problems. We indicate how these results can be employed to derive polynomial time algorithms based on the ellipsoid method and basis reduction. The results of this chapter are presented in a condensed form, to cover as much material as possible.

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Complexity, Oracles, and Numerical Computation,rk in which algorithms are designed and analysed in this book. We intend to stay on a more or less informal level; nevertheless, all notions introduced here can be made completely precise — see for instance ., . and . (1974), . and . (1979).

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Combinatorial Optimization: Some Basic Examples,tion problems are formulated as linear programs. Chapter 8 contains a comprehensive survey of combinatorial problems to which these methods apply. Finally, in the last two chapters we discuss some more advanced examples in greater detail.

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Geometric Algorithms and Combinatorial Optimization

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Martin Grötschel,László Lovász,Alexander Schrijver

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Stable Sets in Graphs, classes of graphs which are in fact characterized by such a condition, most notably the class of perfect graphs. Using this approach, we shall develop a polynomial time algorithm for the stable set problem for perfect graphs. So far no purely combinatorial algorithm has been found to solve this pro

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